Analysis of the Marvel Comic Universe

A description of all characters of the Marvel Universe can be found here.

Preparation: Install `networkx`

conda install networkx
pip install python-louvain

The networkx documentation can be found here



In [31]:

    
import networkx as nx
import csv



In [32]:

    
G = nx.Graph(name="Hero Network")
with open('../../data/hero-network.csv', 'r') as data:
    reader = csv.reader(data)
    for row in reader:
        G.add_edge(*row)



In [33]:

    
nx.info(G)









    Out[33]:





'Name: Hero Network\nType: Graph\nNumber of nodes: 6426\nNumber of edges: 167219\nAverage degree:  52.0445'



In [34]:

    
G.order() # number of nodes









    Out[34]:





6426



In [35]:

    
G.size() # number of edges









    Out[35]:





167219

Graph Visualization

=> Nice, but Hairball-Effect

=> Let's try out Ego-Graphs

Ego Graph of an arbitrary Hero



In [45]:

    
hero = 'MACE' # Jeffrey Mace, aka Captain America



In [46]:

    
ego=nx.ego_graph(G,hero,radius=1)
nx.info(ego)









    Out[46]:





'Name: Hero Network\nType: Graph\nNumber of nodes: 10\nNumber of edges: 32\nAverage degree:   6.4000'



In [47]:

    
import matplotlib.pyplot as plt
%matplotlib inline

import warnings; warnings.simplefilter('ignore')



In [48]:

    
pos = nx.spring_layout(ego)
nx.draw(ego,pos,node_color='b',node_size=50, with_labels=True)

# ego large and red
nx.draw_networkx_nodes(ego,pos,nodelist=[hero],node_size=300,node_color='r');

Most important Heros

What means 'important'?

Degree:
Number of connections: Measure of popularity.
It is useful in determining nodes that can quickly spread information.
Betweenness:
Shows which nodes are likely pathways of information, and can be used to determine where the graph will break apart if the node is removed.
Closeness:
This is a measure of reach, that is, how fast information will spread to all other nodes from this particular node. Nodes with the most central closeness enjoy short durations during broadcast communication.
Eigenvector:
Measure of related influence. Who is closest to the most important people in the graph? This can be used to show the power behind the scenes, or to show relative influence beyond popularity.

For practical samples please check out these Centrality Exercises.

(Taken from Packt - Practical Datascience Cookbook)

1. Degree Concept

Degrees == number of connections of a node
Degree Centrality == percent of nodes in the graph that a node is connected to

*CD here is the Degree Centrality of the whole Graph.



In [49]:

    
G.degree() # see also ego-graph above









    Out[49]:





{'LITTLE, ABNER': 22,
 'PRINCESS ZANDA': 11,
 "BLACK PANTHER/T'CHAL": 711,
 'STEELE, SIMON/WOLFGA': 9,
 'FORTUNE, DOMINIC': 15,
 'ERWIN, CLYTEMNESTRA': 61,
 'IRON MAN/TONY STARK ': 1522,
 'IRON MAN IV/JAMES R.': 465,
 'RAVEN, SABBATH II/EL': 11,
 'CARNIVORE/COUNT ANDR': 45,
 'GHOST': 35,
 'ZIMMER, ABE': 72,
 'FU MANCHU': 42,
 'TARR, BLACK JACK': 30,
 'SMITH, SIR DENIS NAY': 28,
 'SHANG-CHI': 127,
 'STARSHINE II/BRANDY ': 166,
 'ROM, SPACEKNIGHT': 241,
 'MAN-THING/THEODORE T': 188,
 'WU, LEIKO': 44,
 'DOCTOR DREDD': 14,
 'RESTON, CLIVE': 32,
 'JACKSON, STEVE': 71,
 'MYSTIQUE/RAVEN DARKH': 395,
 'BLOB/FRED J. DUKES': 423,
 'TORPEDO III/BROCK JO': 224,
 'PYRO/ALLERDYCE JOHNN': 298,
 'AVALANCHE/DOMINIC PE': 277,
 'ROGUE /': 831,
 'DESTINY II/IRENE ADL': 228,
 'HYBRID/JAMES JIMMY M': 30,
 'CLARK, SARAH': 53,
 'KILLBURN, MACK': 17,
 'JONES, TAMMY ANNE': 52,
 'JONES, LORRAINE LORR': 52,
 'JONES, NELL': 46,
 'JONES, DANIEL DANNY': 52,
 'CLARK, JOHN': 53,
 'SUB-MARINER/NAMOR MA': 979,
 'VASHTI': 210,
 'SEAWEED MAN': 5,
 'NOVA/RICHARD RIDER': 681,
 'FIRESTAR/ANGELICA JO': 613,
 'THUNDERBALL/DR. ELIO': 212,
 'NAMORITA/NITA PRENTI': 596,
 'SPEEDBALL/ROBBIE BAL': 503,
 'HULK/DR. ROBERT BRUC': 1055,
 'NIGHT THRASHER/DUANE': 384,
 'SPIDER-MAN/PETER PAR': 1737,
 'JUSTICE II/VANCE AST': 489,
 'TIGRA/GREER NELSON': 516,
 'WASP/JANET VAN DYNE ': 1091,
 'GALACTUS/GALAN': 399,
 'MOCKINGBIRD/DR. BARB': 522,
 'SILVER SURFER/NORRIN': 667,
 'HAWK': 1175,
 'LORD CHAOS': 135,
 'SCARLET WITCH/WANDA ': 1325,
 'QUICKSILVER/PIETRO M': 875,
 'UATU': 526,
 'CAPTAIN AMERICA': 1908,
 'THUNDERSTRIKE/ERIC K': 534,
 'WONDER MAN/SIMON WIL': 1033,
 'DEATHLOK III/MICHAEL': 190,
 'OBLIVION': 80,
 'WOLVERINE/LOGAN ': 1371,
 'SHE-HULK/JENNIFER WA': 1071,
 'VISION ': 1241,
 'PSYLOCKE/ELISABETH B': 694,
 'MARVEL GIRL/JEAN GRE': 1005,
 'STORM/ORORO MUNROE S': 1072,
 'ETERNITY/ADAM QADMON': 318,
 "KISMET/J'RIDIA STARD": 195,
 'IN-BETWEENER': 93,
 'MR. FANTASTIC/REED R': 1379,
 'ANGEL/WARREN KENNETH': 1073,
 'DEATH': 280,
 'MASTER ORDER': 120,
 'JUBILEE/JUBILATION L': 449,
 'THING/BENJAMIN J. GR': 1416,
 'INVISIBLE WOMAN/SUE ': 1236,
 'INFINITY II': 123,
 'PUNISHER II/FRANK CA': 484,
 'ANDROMEDA/ANDROMEDA ': 119,
 'BEAST/HENRY &HANK& P': 1267,
 'GHOST RIDER III/DAN ': 296,
 'CYCLOPS/SCOTT SUMMER': 1081,
 'LIVING LASER/ARTHUR ': 70,
 'CABE, BETHANY': 106,
 'SPYMASTER/JAKE JORDA': 45,
 'HOGAN, VIRGINIA PEPP': 260,
 'HOGAN, HAROLD J. HAP': 221,
 'BATROC/GEORGES BATRO': 175,
 'CARTER, SHARON': 258,
 'KARNILLA [ASGARDIAN]': 186,
 'HEIMDALL [ASGARDIAN]': 257,
 'ENCHANTRESS/AMORA/HE': 319,
 'LOKI [ASGARDIAN]': 425,
 'NIGHTMARE/EDVARD HAB': 142,
 'ZANIAC/BRAD WOLFE': 10,
 'THOR/DR. DONALD BLAK': 1289,
 'SONIC': 26,
 'CHAIN': 26,
 'SPIDER-WOMAN II/JULI': 411,
 'CARPENTER, RACHEL': 97,
 'GRASP': 26,
 'CLEMSON, MIKE': 36,
 'COOPER, DR. VALERIE': 539,
 'CARPENTER, LARRY': 50,
 'RED GUARDIAN III/DR.': 162,
 'DR. STRANGE/STEPHEN ': 1067,
 'DOLLAR BILL': 59,
 'HELLCAT/PATSY WALKER': 365,
 'NIGHTHAWK II/KYLE RI': 252,
 'DEVIL-SLAYER/ERIC SI': 159,
 'NORRISS, SISTER BARB': 389,
 'BANNER, BETTY ROSS T': 344,
 'ROSS, GEN. THADDEUS ': 329,
 'COBALT MAN': 28,
 'MASTERMIND/JASON WYN': 142,
 'ROBERTS, TED': 30,
 'ARMBRUSTER, COLONEL ': 28,
 'GORGON [INHUMAN]': 439,
 'LOCKJAW [INHUMAN]': 395,
 'CRYSTAL [INHUMAN]': 701,
 'BLACK BOLT/BLACKANTO': 444,
 'TRITON': 420,
 'KARNAK [INHUMAN]': 445,
 'WARLOCK II/ADAM WARL': 302,
 'ANALYZER': 128,
 'MAN-BEAST': 98,
 'ABOMINATION/EMIL BLO': 187,
 'RHINO': 311,
 'WILSON, JIM': 72,
 'JUGGERNAUT/CAIN MARK': 282,
 'PROFESSOR X/CHARLES ': 1032,
 'CORBEAU, DR. PETER': 206,
 'BRICKFORD, CLAY': 31,
 'MISSING LINK': 23,
 'STACY, PAUL': 71,
 'VENOM/EDDIE BROCK': 157,
 'PARKER, MAY': 488,
 'STACY, ARTHUR': 95,
 'STACY, JILL': 158,
 'BLADE': 59,
 'ROBERTSON, JOE': 643,
 'FORTUNATO, GIACOMO J': 62,
 'MORBIUS/DR. MICHAEL ': 113,
 'LEEDS, BETTY BRANT': 414,
 'KINGPIN/WILSON FISK': 442,
 'GARTH, DONNA': 15,
 'ZOMBIE/SIMON GARTH': 13,
 'WATSON-PARKER, MARY ': 800,
 'WATSON, ANNA': 277,
 'SPAULDING, PETER': 39,
 'MACHINE MAN/X-51': 257,
 'JOCASTA': 217,
 'GARVIN, GEARS': 47,
 'ULTRON': 183,
 'CALDRONE, JAVIER': 37,
 'JAMESON, J. JONAH': 920,
 'DOLMAN': 25,
 'URICH, BEN': 407,
 'KWAN, TERRY': 39,
 'OVERRIDE/DR. GREGORY': 63,
 'ICEMAN/ROBERT BOBBY ': 945,
 'THOMPSON, EUGENE FLA': 349,
 'THORSON, DR. WALTER': 33,
 'MAXWELL, MORRIS': 33,
 'LUMLEY, JUDY': 13,
 'GRANT, GLORIA GLORY': 266,
 'FAIRMONT, HANNAH': 86,
 'MCCORMICK, BARRY': 7,
 'TOKKOTS': 31,
 'STAR THIEF II': 9,
 'GARGOYLE II/ISAAC CH': 263,
 'KUBIK': 37,
 'CLOUD': 43,
 'MANSLAUGHTER': 26,
 'SOUTHERN, CANDY': 169,
 'INTERLOPER': 25,
 'MOONDRAGON/HEATHER D': 574,
 'DRAGON OF THE MOON': 14,
 'HUMAN TORCH/JOHNNY S': 1361,
 'BEYONDER': 236,
 'DR. OCTOPUS/OTTO OCT': 232,
 'WARD, SEN. STEWART': 43,
 'BULLSEYE II/BENJAMIN': 93,
 'MISTER HYDE/CALVIN Z': 208,
 'COACHWHIP': 78,
 'COBRA/KLAUS VORHEES': 235,
 'ASP II/CLEO': 152,
 'BUSHMASTER II/QUINCY': 87,
 'FER DE LANCE/TERESA': 70,
 'BLACK MAMBA/TANYA SE': 171,
 'BLACK RACER/': 71,
 'ROCK PYTHON': 77,
 'ANACONDA/BLANCHE SIT': 166,
 'PUFF ADDER': 80,
 'BOOMSLANG/': 80,
 'RATTLER': 106,
 'COPPERHEAD III/DAVIS': 65,
 'MOREAU, DAVID': 50,
 'RANSOME, JENNIFER AM': 118,
 'MOREAU, PHILLIP': 107,
 'HAVOK/ALEX SUMMERS ': 782,
 'WIPEOUT': 47,
 'DAZZLER II/ALLISON B': 376,
 'LONGSHOT': 222,
 'SUMMERS, MADELYNE MA': 251,
 'COLOSSUS II/PETER RA': 1025,
 'MALICE IV': 66,
 'SUMMERS, NATHAN CHRI': 585,
 'POLARIS/LORNA DANE': 564,
 'MR. SINISTER/NATHAN ': 189,
 "N'ASTIRH": 108,
 'GATEWAY': 182,
 'TILBY, TRISH/PATRICI': 299,
 'CONOVER, REV. WILLIA': 13,
 'CONOVER, HANNAH': 13,
 'WOLFSBANE/RAHNE SINC': 538,
 'WARLOCK III': 279,
 'SUNSPOT/ROBERTO DACO': 521,
 'MAGIK/ILLYANA RASPUT': 265,
 'MAGNETO/MAGNUS/ERIC ': 526,
 'CANNONBALL II/SAM GU': 641,
 'MIRAGE II/DANIELLE M': 398,
 "S'YM": 139,
 'GRIFFITH, D.W.': 89,
 'MACE': 9,
 'CAGE, LUKE/CARL LUCA': 607,
 'PIPELINE/CORMICK GRI': 111,
 'PUNCHOUT': 41,
 'HAWKSHAW': 60,
 'MOLECULE MAN/OWEN RE': 158,
 'JARVIS, EDWIN ': 986,
 'GHOST RIDER II/JOHNN': 271,
 'ANT-MAN/DR. HENRY J.': 1082,
 'ARBOGAST, BAMBI': 187,
 'EGGHEAD/PROF. ELIHAS': 73,
 'STARR, TRIXIE TRISH': 57,
 'STANKOWICZ, FABIAN': 198,
 'HERCULES [GREEK GOD]': 991,
 'BLACK WIDOW/NATASHA ': 922,
 'MOON KNIGHT/MARC SPE': 439,
 'DRAX/ARTHUR DOUGLAS': 303,
 'HARDY, MORGAN MACNEI': 8,
 'SPIDER-MAN CLONE/BEN': 355,
 'KAINE': 131,
 'GREGOR': 23,
 'RAVEN, LT. JACOB': 83,
 'TREVANE, DET. CONNOR': 63,
 'GRIM HUNTER/KRAVINOF': 24,
 'ELLIS, KEN': 128,
 'BYRNES, GAYLE WATSON': 37,
 'TOMBSTONE/LONNIE THO': 145,
 'SPIDERCIDE': 79,
 'JACKAL/MILES WARREN': 86,
 'JACK': 16,
 'CAPUTO, DR. JULIA': 37,
 'GUARDIAN IV': 12,
 'GREEN GOBLIN IV/PHIL': 77,
 'STACY, GWEN (CLONE)': 55,
 'BUCKNER, GRANT': 20,
 'STUNNER/ANGELINA BRA': 66,
 'TRAINER, DR. SEWARD': 81,
 'TRAVELLER, DR. JUDAS': 46,
 'TOWER, BLAKE': 142,
 'LOCKER, MR.': 22,
 'HINDSIGHT LAD/CARLTO': 86,
 'SPEEDBALL II/DARRION': 105,
 'GEE/ALEX POWER': 262,
 'TURBO II (A)/MICHIKO': 244,
 'BLACK CAT/FELICIA HA': 301,
 "D'SPAYRE": 94,
 'PROUST, PAUL': 17,
 'MACHETE/FERDINAND LO': 36,
 'ZARAN/MAXIMILLIAN ZA': 68,
 'SILVER SABLE': 200,
 'TRICKSHOT': 16,
 'SWORDSMAN/JACQUES DU': 156,
 'SANDMAN/WILLIAM BAKE': 377,
 'PEREGRINE, LE/FRANCK': 137,
 'RED SKULL II/ALBERT ': 28,
 'GUDRUN [ASGARDIAN]': 35,
 'VOLSTAGG': 350,
 'HOGUN [ASGARDIAN]': 393,
 'FANDRAL [ASGARDIAN]': 393,
 'VIZIER': 189,
 'ODIN [ASGARDIAN]': 423,
 'DOMINO III/BEATRICE/': 333,
 'HYDROMAN/MORRIE BENC': 214,
 'STILT-MAN/WILBUR DAY': 130,
 'BLOCKADE/DEXTER PARI': 29,
 'MERRYWEATHER, IRENE': 149,
 'BLAQUESMITH': 163,
 'WORTHINGTON, KATHRYN': 31,
 'WORTHINGTON, WARREN ': 28,
 'VULTURE/ADRIAN TOOME': 193,
 'VULTURE II/BLACKIE D': 15,
 'OSBORN, HARRY': 243,
 'STACY, CAPT. GEORGE': 61,
 'STACY, GWEN': 88,
 'GREEN GOBLIN/NORMAN ': 262,
 'SILVERMANE/SILVIO MA': 151,
 'GREEN GOBLIN III/BAR': 18,
 'PULASKI, JOSEPHINE J': 9,
 'SHIFFMAN, MAXIE': 21,
 'OSBORN, LIZ ALLAN': 321,
 'MCKEEVER, TINY': 48,
 'IONELLO, JASON': 54,
 'GLADIATOR II': 222,
 'RICHARDS, FRANKLIN B': 635,
 'ARISHEM [CELESTIAL]': 171,
 'ZIRAN': 152,
 'GAMMENON [CELESTIAL]': 138,
 'ONE ABOVE ALL [CELES': 122,
 'WONG': 444,
 'CLEA': 246,
 'UMAR': 84,
 'ALRAUNE, MARLENE': 85,
 'JESTER/JONATHAN POWE': 26,
 'DAREDEVIL/MATT MURDO': 967,
 'NEDDA': 14,
 'LANDERS, GENA': 33,
 'CRAWLEY, BETRAND': 41,
 'MANOLIS, LT. NICK': 38,
 'FRENCHIE/JEAN-PAUL D': 123,
 'BUSHMAN, RAOUL': 25,
 'LANDERS, RICKY': 14,
 'SAMUELS': 13,
 'LANDERS, RAY': 14,
 'MASTERS, ALICIA REIS': 438,
 'FEAR EATER/KKALLAKKU': 18,
 'LURKING UNKNOWN': 17,
 'WOLFE, SARA': 98,
 'DWELLER IN DARKNESS': 33,
 'SCARECROW II': 17,
 'NOX': 16,
 'RINTRAH': 146,
 'PHOBOS': 12,
 'DEIMOS': 12,
 'CHANG, IMEI': 73,
 'TOPAZ': 63,
 'DR. DRUID/ANTHONY LU': 481,
 'BARON BLOOD II/VICTO': 38,
 'BLESSING, MORGANA': 60,
 'PIP/PRINCE GOFERN': 229,
 'GAMORA': 229,
 'FRANKENSURFER/BORGO': 5,
 'VON FRANKENSTEIN, BA': 9,
 'DRACULA/VLAD TEPES': 150,
 'DR. DOOM/VICTOR VON ': 648,
 'CERBERUS': 41,
 'HELA [ASGARDIAN]': 292,
 'FIRELORD/PYREUS KRIL': 206,
 'AGAMOTTO': 40,
 'SILVER DAGGER/ISAIAH': 32,
 'CAESAR, JULIUS': 7,
 'ZOTA': 8,
 'THANOS': 374,
 'CLEOPATRA': 8,
 'MEPHISTA': 15,
 'MEPHISTO': 395,
 'SATANNISH': 61,
 'SLOAN, DR.': 55,
 'HOBGOBLIN III/LEFTY ': 10,
 'HOBGOBLIN II/RODERIC': 134,
 'FROG-MAN II/EUGENE P': 34,
 'LUBENSKI, NATE': 148,
 'FOREIGNER/RAFAEL BAS': 127,
 'BANNON, LANCE': 137,
 'MUGGINS, MAMIE': 107,
 'THINKER': 215,
 'HOCHBERG, ROGER': 51,
 'LIZARD/DR. CURTIS CO': 161,
 'KINGSLEY, DANIEL': 49,
 'JAMESON, MARLA MADIS': 251,
 'COUNT NEFARIA, LUCHI': 140,
 'PLANTMAN/SAM SMITHER': 169,
 'SCARECROW/EBENEZER L': 97,
 'ZELDA': 37,
 'EEL/LEOPOLD STRYKE': 89,
 'CANTOR, VERA': 125,
 'PORCUPINE/ALEX GENTR': 140,
 'UNICORN/MYLOS MASARY': 84,
 'HENDERSHOOT, COLONEL': 23,
 'FREDERICKS, GENERAL': 47,
 'PENANCE/MONET ST. CR': 163,
 'SUPREME ONE': 10,
 'LUCIFER': 26,
 'UNUS THE UNTOUCHABLE': 100,
 'DOMINUS': 8,
 'MIMIC/CALVIN RANKIN': 111,
 'KUKULCAN/VIRAKO/QUET': 41,
 'TOLOC': 11,
 'RAMON': 11,
 'EL TIGRE': 15,
 'PUPPET MASTER/PHILLI': 226,
 'LOCUST': 13,
 'BANSHEE/SEAN CASSIDY': 502,
 'OGRE': 81,
 'SUPER-ADAPTOID/ALESS': 108,
 'LIVING MUMMY': 118,
 'HUMAN TORCH ANDROID/': 343,
 'BUCKY/BUCKY BARNES': 128,
 'DEAN, BETTY': 10,
 'U-MAN/MERRANO': 74,
 'CHURCHILL, SIR WINST': 31,
 'TORO/TOM RAYMOND': 116,
 'SPITFIRE/LADY JACQUE': 107,
 'WHIZZER/ROBERT L. FR': 203,
 'RED SKULL/JOHANN SCH': 255,
 'BARON STRUCKER/WOLFG': 206,
 'PRENTISS, BETTY DEAN': 37,
 'HORTON, PROFESSOR PH': 55,
 'FITZPATRICK, WILL': 14,
 'UNION JACK II/BRIAN ': 56,
 'JACK FROST/': 35,
 'MISS AMERICA/MADELIN': 61,
 'THIN MAN/BRUCE DICKS': 31,
 'RED RAVEN': 48,
 'KRIEGHUND, COL.': 16,
 'PATRIOT/JEFF MACE': 26,
 'BLUE DIAMOND/PROFESS': 35,
 'UNION JACK/LORD MONT': 44,
 'BARON BLOOD/JOHN FAL': 60,
 'ZAWADI': 20,
 'BLOODSTONE/ULYSSES B': 43,
 'GORGILLA': 32,
 'GROTTU': 6,
 'MOLE MAN/HARVEY RUPE': 296,
 'MAKKARI/MIKE KHARY/I': 299,
 'ZINOVIEV, IVAN': 8,
 'KRO [DEVIANT]': 145,
 'VALKIN': 81,
 'GIGANTUS': 18,
 'GEORGE, DAVID LLOYD': 8,
 'DELGADO, FATHER': 49,
 'CLOAK/TYRONE JOHNSON': 275,
 'MAYHEM/DET. BRIGID O': 54,
 'DAGGER/TANDY BOWEN': 250,
 'HEATER DELIGHT': 6,
 'STARFOX/EROS': 457,
 'RADIOACTIVE MAN/DR. ': 134,
 'MANDARIN': 221,
 'TAURUS/CORNELIUS VAN': 48,
 'ERWIN, MORLEY': 73,
 'SIF': 380,
 'VOLLA': 44,
 'CASE, COL. PRESTON': 39,
 'PERRIKUS': 45,
 'BRADLEY, HANK': 16,
 'COLLINS, DEMITRIUS': 66,
 'KINCAID, DR. JANE FO': 263,
 'DESTROYER III': 131,
 'FAIRMONT, AMANDA MAN': 49,
 'FURY, COL. NICHOLAS ': 922,
 'AQUARIUS II/': 22,
 'LEO/DANIEL RADFORD': 41,
 'VIRGO/ELAINE MCLAUGH': 42,
 'ARIES II/GROVER RAYM': 66,
 'SCORPIO II': 21,
 'PISCES/NOAH PERRICON': 41,
 'GEMINI/JOSHUA LINK': 68,
 'CANCER/JACK KLEVENO': 42,
 'SAGITTARIUS/HARLAN V': 86,
 'LIBRA/GUSTAV BRANDT': 125,
 'CAPRICORN/WILLARD WE': 50,
 'VIBRO/DR. FRANCIS VI': 26,
 'BROTHERS GRIMM II/BA': 91,
 'MORLEY': 15,
 'STANE, OBADIAH': 42,
 'MASTER MOLD II': 200,
 'MASTER MOLD III': 11,
 'GILBERTI, ROSE': 11,
 'CREED, GRAYDON': 77,
 'BRIDGE, GEORGE WASHI': 281,
 'KRAGG, GEN.': 7,
 'BRICKMAN, SEN. MILES': 50,
 'MAJESTON ZELIA': 38,
 'ADVA': 38,
 'DIAMOND, CHUCKY': 11,
 'KINCAID, DR. KEITH': 157,
 'FERRARI, CONNIE': 42,
 'CHAKARA, KANU': 15,
 'CHAKARA, MADAN': 4,
 'MOSLEY, WARDEN': 4,
 'KLAW/ULYSSES KLAW': 268,
 'LYJA LAZERFIST [SKRU': 258,
 'DEVLOR': 88,
 "VIBRAXAS/N'KANO": 118,
 'RICHARDS, NATHANIEL': 108,
 'PSI-LORD/FRANKLIN BE': 85,
 'ANT-MAN II/SCOTT HAR': 410,
 'KRISTOFF/KRISTOFF VE': 147,
 'HUNTARA/MARY ELIZABE': 90,
 'WHITE TIGER/HECTOR A': 96,
 'SHA SHAN': 101,
 'TARANTULA/ANTON MIGU': 40,
 'LIGHTMASTER/EDWARD L': 30,
 'KRAVEN THE HUNTER/SE': 141,
 'MORGAN': 67,
 'HITMAN/LT. BURT KENY': 14,
 'KLINE, MR.': 20,
 'CRANDAL, BEN': 8,
 "GUARDSMAN/KEVIN O'BR": 33,
 'RODGERS, MARIANNE': 78,
 'SITWELL, JASPER': 204,
 'SLASHER': 13,
 'DEMITRIUS': 6,
 'BYRD, SEN. HARRINGTO': 42,
 'WHITE DRAGON': 10,
 'NIGHT PHANTOM II': 5,
 'KA-ZAR/KEVIN PLUNDER': 330,
 'BILLUPS, AGENT': 25,
 'PROTOCIDE/PRIVATE CL': 25,
 'ZABU': 242,
 'PLUNDER, ADAM KYLE M': 60,
 'MANNING, DR.': 13,
 "SHANNA/SHANNA O'HARA": 279,
 'FIREBRAND/GARY GILBE': 62,
 'RAMIREZ, JAVIER': 36,
 'DAYTRIPPER/AMANDA SE': 233,
 'NIGHTCRAWLER/KURT WA': 857,
 'GOG III': 29,
 'MAGOG II': 29,
 'ARIZE': 35,
 'QUARK': 22,
 'MOJO': 102,
 'GAMBIT/REMY LEBEAU ': 611,
 'MAJOR DOMO': 76,
 'FORGE': 477,
 'SHAW, SHINOBI': 100,
 'BISHOP /': 359,
 'KINE, BENEDICT': 17,
 'PAYGE, REEVA': 11,
 'KAUR, BENAZIR': 11,
 'VAUGHAN, MRS.': 33,
 'BETELHEIM, NORMA': 6,
 'QUASAR III/WENDELL V': 731,
 'ORIGIN/PHYLLIS TWOMB': 29,
 'VAUGHAN, GAYLE': 18,
 'BALLANTINE, KAYLA': 225,
 'UNBEING/BILLY BETELH': 22,
 'WHIZZER II/STANLEY S': 172,
 'ARCANNA/ARCANNA JONE': 152,
 'KRONOS': 100,
 'EON': 130,
 'DR. SPECTRUM/JOSEPH ': 180,
 'TANAKA, KENJIRO': 166,
 'LADY LARK/LINDA LEWI': 133,
 'GARFIELD, MURRAY': 21,
 'SHAPE': 98,
 'HYPERION': 189,
 'SERGEI': 141,
 'MAELSTROM/MALCOLM ST': 118,
 'JACK OF HEARTS/JACK ': 332,
 'POWER PRINCESS/ZARDA': 120,
 'LACOSTE, RAE': 60,
 'RHODES, MR.': 12,
 'LOCOMOTIVE BREATH/LA': 17,
 'GUNSHIP/CARY ROUNTRE': 12,
 'JOSEPH, SHEVA': 34,
 'MANTONE, JORGE': 8,
 'SANCTION/AARON': 12,
 'SEGAR, OWEN': 12,
 'DRAGONFLY/VERONICA D': 167,
 'OVERMIND/GROM': 69,
 '4-D MAN/MERCURIO': 72,
 'BI-BEAST II': 66,
 'EGO-PRIME': 50,
 'STRANGER': 140,
 'JAKAR': 37,
 'SHANGA': 26,
 'CHARM': 86,
 'TRUTH': 86,
 'BEAUTY': 86,
 'HAYWIRE/': 60,
 "STARDUST/T'URIN G'AR": 30,
 'ROCKET RACCOON': 31,
 'KRAKOA': 36,
 'TEN FOR': 88,
 'DIAMONDHEAD/DYKER': 78,
 'FLASH/BARRY ALLEN/BU': 18,
 'SUPER SABRE/MARTIN F': 106,
 'WHIZZER III/JAMES SA': 148,
 'RUNNER': 64,
 'CAPTAIN MARVEL II/MO': 531,
 'HALFLIFE': 6,
 'ATLAS': 74,
 'MINERVA [KREE]': 76,
 'CAPTAIN BRITAIN/BRIA': 460,
 'USAGENT/CAPTAIN JOHN': 585,
 'MEGGAN': 316,
 'WIDGET': 128,
 'MODRED THE MYSTIC': 97,
 'PHOENIX III/RACHEL S': 397,
 'REJECT/RAN-SAK [DEVI': 132,
 'MASTER ELO': 12,
 'TUTINAX': 28,
 'BLOOD BROTHERS': 106,
 'ELO': 12,
 'SUNDOWN/DR. DAVE LOW': 34,
 'VANISHER': 159,
 "D'ANGELO, LIEUTENANT": 39,
 'NOVA II/FRANKIE RAYE': 304,
 'OBLITERATOR [ELDER]': 17,
 'SHALLA BAL II': 40,
 'CONTEMPLATOR/TATH KI': 84,
 'BOUNTY II': 49,
 'BLOODY MARY': 5,
 'ANDERSON, BAXTER': 5,
 "SUPER SKRULL/KL'RT": 178,
 'REPTYL': 61,
 "EMPRESS S'BYLL [SKRU": 35,
 'RONAN THE ACCUSER [K': 175,
 "MIDNIGHT/M'NAI": 33,
 'SUPREME INTELLIGENCE': 238,
 'SWITZLER, BEVERLY': 50,
 'HOWARD THE DUCK': 72,
 'HUNTER, LANCE': 11,
 'BRADDOCK, JAMES JR. ': 27,
 'CALLAGHAN, JAMES': 9,
 'DR. SYNNE': 8,
 'ROSS, COURTNEY': 31,
 'FRASER, DET. KATE': 9,
 'TANNER, JACKO': 13,
 'BOOMERANG/FRED MYERS': 235,
 'JONES, RICHARD MILHO': 539,
 'TALBOT, GLENN': 126,
 'MAD VIKING/KNUT CAIN': 5,
 'DELPHI': 57,
 'ANNIHILUS': 120,
 'LEEDS, NED': 181,
 'BROMWELL, DR.': 51,
 'ROSENTHAL, BERNIE': 187,
 'ANELLE': 28,
 'GRIMM, JAKE': 16,
 'MYSTERIO/QUENTIN BEC': 158,
 'BIG MAN/FREDERICK FO': 49,
 'FANCY DAN': 48,
 'MONTANA': 48,
 'OX': 38,
 'TERRAX II/TYROS': 110,
 'ZARRKO, ARTHUR': 128,
 'CANNONBALL/JACK PULV': 120,
 'GAMBONNO, ERNESTO': 117,
 'PAGE, KAREN': 289,
 'BRUTO THE STRONGMAN/': 66,
 'RINGMASTER/MAYNARD T': 183,
 'GAMBONNO, LUIGI': 117,
 'NELSON, FRANKLIN FOG': 497,
 'EVANS, DORIS': 29,
 'WARREN, MR.': 17,
 'CHAMELEON/DMITRI SME': 109,
 'SHADOWCAT/KATHERINE ': 718,
 'LOCKHEED': 324,
 'KNIGHT ERRANT/MATSON': 11,
 "ICON/DR. U'MBAYA A'K": 11,
 'THOMAS, COMMANDER DA': 85,
 "CERISE II [SHI'AR]": 137,
 'AHAB/RORY CAMPBELL': 89,
 'SHADOWCAT 2013': 46,
 'MANIPULATOR/': 20,
 'STINGER II/': 11,
 'DUGAN, TIMOTHY ALOYI': 497,
 'RAMIREZ, ALMA': 23,
 'GENUARDI, MR.': 13,
 'RAMIREZ, LUIS': 23,
 'RAMIREZ, MARTA': 17,
 'BOLT, COUNCILMAN AND': 24,
 'OXNARD, PHIL': 10,
 'RAMIREZ, ROSA': 17,
 'KORVAC, MICHAEL': 89,
 'ASTROVIK, NORMA': 61,
 'BINARY/CAROL DANVERS': 537,
 'TWO-GUN KID': 51,
 'GYRICH, HENRY PETER': 392,
 'COLLECTOR/TANELEER T': 183,
 'CAPTAIN MARVEL/CAPTA': 246,
 'HERA/AUGUSTINE JONES': 82,
 'CARINA/CARINA WALTER': 41,
 'ZEUS': 220,
 'BROWN, LAURA': 59,
 'NEVILLE, KATE': 52,
 'MACKENZIE, AL': 46,
 'WOO, JIMMY': 68,
 'MAD DOG/COLONEL BUZZ': 188,
 'DE LA FONTAINE, CONT': 261,
 'MADAME HYDRA VI': 20,
 'JONES, GABE': 225,
 'PIERCE, ALEXANDER GO': 101,
 'QUARTERMAIN, CLAY': 134,
 'GAFF/SIDNEY E. LEVIN': 67,
 'RUNCITER, GAIL': 39,
 'MS. MARVEL II/SHARON': 282,
 'KOENIG, ERIC': 63,
 'BLACK KNIGHT V/DANE ': 741,
 'NEPHRI': 5,
 'APOCALYPSE/EN SABAH ': 261,
 'OZYMANDIAS': 104,
 'OSIRIS': 63,
 'LOGOS': 6,
 'BAAL': 5,
 'PHARAOH RAMA-TUT': 370,
 'KRISTA': 29,
 'BALDER [ASGARDIAN]': 352,
 'GRANT, SILAS': 41,
 'TANA NILE': 76,
 'HILDEGARDE [ASGARDIA': 57,
 'ULIK': 128,
 'DEATH-STALKER': 40,
 'HELLSTORM/DAIMON HEL': 277,
 'BLAZE, ROXANNE SIMPS': 70,
 'STUNT-MASTER/GEORGE ': 76,
 'SATAN/MARDU KURIOS': 54,
 'ORB': 37,
 'REYNOLDS, KATHERINE': 10,
 'LEGION': 5,
 'ROMA': 145,
 'TRAPSTER/PETER PETRU': 228,
 'MAGMA II/JONATHAN DA': 14,
 'MARTINELLI, VINCENT ': 56,
 'MOOMJI, INDRIES': 11,
 'CORTEZ, FABIAN': 144,
 'TRIATHLON/DELROY GAR': 204,
 'HUXLEY, DR. ALDA': 72,
 'CARGIL/JOANNA CARGIL': 197,
 'SCANNER II': 150,
 'VOGHT, AMELIA': 136,
 'SENYAKA': 66,
 'REM-RAM/': 39,
 'DEVEREAUX, MICHELLE': 29,
 'BARNACLE/': 45,
 'STATIC': 55,
 'BOERKE, MAYOR': 29,
 'KLEINSTOCK, HARLAN': 94,
 'KLEINSTOCK, SVEN': 94,
 'PROJECTOR/': 71,
 'SPOOR/ANDREW HAMISH ': 61,
 'SUVOROV, ADMIRAL GRI': 29,
 'HALLER, GABRIELLE': 118,
 'SCHEMER/RICHARD FISK': 110,
 'JAMESON, COL. JOHN ': 302,
 'SMITH, JOE': 18,
 'ANCIENT ONE': 83,
 'DR. STRANGER YET': 5,
 'APPALLA': 6,
 'BLACK KNIGHT V STATU': 60,
 'DIABLO/ESTEBAN DE AB': 169,
 'SUZIE': 6,
 'JONES, MARLO CHANDLE': 176,
 'QUASIMODO': 72,
 'HULK III/BRUCE BANNE': 47,
 'NOMAD III/JACK MONRO': 205,
 'MACLAIN, DR. MYRON': 35,
 'MADCAP': 84,
 'DEATH ADDER': 94,
 'ROTH, ARNIE': 69,
 'SISTER AGONY': 35,
 'SISTER DEATH': 27,
 'SISTER DREAM': 27,
 'MOTHER SUPERIOR': 42,
 'SISTER PLEASURE/SCAR': 36,
 'FALCON/SAM WILSON': 541,
 'BLACK CROW/JESSE BLA': 80,
 'BURLEY, MIKE': 27,
 'DOVER, DONNA-LEE': 24,
 'KRAA': 12,
 'COOPER, ROGER CAPS': 39,
 'RIDER, GLORIA': 62,
 'JAYE-FIRESTONE, GING': 51,
 'RIDER, ROBERT ROBBIE': 64,
 'RIDER, CHARLES': 67,
 'DILLON, BERNIE': 27,
 'CONDOR': 29,
 'POWERHOUSE/RIEG DAVA': 36,
 'SIDEWINDER/SETH VOEL': 111,
 'PRINCESS PYTHON/ZELD': 184,
 'CONSTRICTOR/FRANK PA': 253,
 'ARMADILLO/ANTONIO RO': 77,
 'MALUS, DR. KARL': 61,
 'SAYGE': 32,
 'SPHINX': 97,
 'CAPTAIN MARVEL III/G': 142,
 'NEBULA': 123,
 'BETA RAY BILL': 238,
 'BLACKBODY': 34,
 'DARK COUNSEL/VARTU': 35,
 'YLA': 11,
 'KHIRN': 27,
 'HYNNIT': 11,
 'HARQUIS TEY': 19,
 'UNI-LORD': 38,
 'CRIX': 11,
 'ALIST': 11,
 'JYX': 27,
 'JUSUR': 11,
 'TEI': 11,
 'GRAND OVERSEER': 25,
 'REI': 11,
 'MIBA': 11,
 'FIM': 11,
 'YURGE': 11,
 'PYRAKH, COMMANDER': 8,
 'NURIL': 8,
 'IZZIFIZZ': 24,
 'OJANI': 25,
 'TYN-DARMUTH': 10,
 'GRUX': 10,
 'PRADDA FOL': 26,
 'JURIAS': 10,
 'HUNKIR': 23,
 'SKOOKA': 28,
 'VORZEN': 23,
 'HYZAKTL': 15,
 'UR-LINI': 25,
 'QIRMET': 23,
 'STRACU': 15,
 'UNIT 101101': 21,
 'SZARKUS': 12,
 'HRILL': 22,
 'OUTRIDER/OCLIN UWIR ': 16,
 'VYREK': 43,
 'SHAMAN/MICHAEL TWOYO': 425,
 'OMEGA II': 44,
 'POWER, MARGARET': 149,
 'POWER, DR. JIM': 162,
 'COUNTERWEIGHT/JACK P': 200,
 'FRIDAY': 59,
 'LIGHTSPEED/JULIE POW': 200,
 'COUNTERWEIGHT II/KAT': 211,
 'CLOWN/CRAFTY ELIOT F': 139,
 'LIVEWIRE/RANCE PREST': 49,
 'LEADER/SAM STERNS': 187,
 'SOMMERS, APRIL': 20,
 'ABSORBING MAN/CARL C': 275,
 'DOC SAMSON/DR. LEONA': 304,
 'LANN': 30,
 'TYRANNUS': 115,
 'PRINCE REY': 30,
 'KOFI [KYMELLIAN]': 43,
 'JARELLA': 17,
 'PSYKLOP': 18,
 'STAR-STALKER': 40,
 'NEBULON': 46,
 'NORRISS, JACK': 70,
 'CYCLOPS 2013': 9,
 'WOLVERINE 2013': 39,
 'COLOSSUS 2013': 39,
 'PHOENIX 2013': 30,
 'STORM 2013': 34,
 'NIGHTCRAWLER 2013': 9,
 'BEAST 2013': 9,
 'ANGEL 2013': 9,
 'PROFESSOR XAVIER 201': 20,
 'NAGAN, DR. ARTHUR': 61,
 'CHONDU': 73,
 'MORGAN, JERROLD JERR': 61,
 'RUBY': 74,
 'WILLIAMS, MINDY': 40,
 'ARAGORN': 127,
 'OSHIMA': 8,
 'SILVER SAMURAI/KENYU': 182,
 'GOGO TAMAGO/': 23,
 'EVERWRAITH/': 8,
 'BAYMAX': 79,
 'TAKACHIHO, MRS.': 8,
 'SUNFIRE/SHIRO YOSHID': 379,
 'HONEY LEMON/': 23,
 'TAKACHIHO, HIRO': 79,
 'STRONG GUY/GUIDO CAR': 325,
 'HUDSON, HEATHER': 397,
 'SASQUATCH/WALTER LAN': 459,
 'HARKNESS, AGATHA': 355,
 'THANOS DOPPELGANGER': 158,
 'MAGUS': 198,
 'LIVING TRIBUNAL': 184,
 'TRIAX': 11,
 'INFINITY THRALL': 7,
 'HIGH EVOLUTIONARY/HE': 334,
 'NOBILUS': 56,
 'LOVE': 54,
 'HATE': 54,
 'WALSH, LYNN': 18,
 'URICH, DORIS': 51,
 'SUNDRAGON/PAMELA DOU': 9,
 'FRIEDLANDER, SHARON': 126,
 'MACTAGGERT, MOIRA KI': 452,
 'SPIDER-MAN III/MARTH': 64,
 'RANGER I/': 19,
 'HARGROVE, ELIAS': 15,
 'HOBGOBLIN V/JASON PH': 191,
 'ELECTRO/MAX DILLON': 281,
 'REINHOLDT': 15,
 'CITIZEN V III/DALLAS': 234,
 'FIXER II/PAUL NORBER': 296,
 'SHE-WOLF/PAULETTE BR': 7,
 'CITIZEN V II/HELMUT ': 337,
 'CITIZEN V/JOHN WATKI': 39,
 'ZEMO/BARON HEINRICH ': 61,
 'HALDEMAN, CALVIN': 7,
 'FLAG-SMASHER': 59,
 'CUSHING, KATE': 153,
 'SPIDER-WOMAN IV/CHAR': 22,
 'HUNGER': 19,
 'MARROW/SARAH ': 242,
 'CALLISTO': 195,
 'SMASHER III': 9,
 'GLENN, HEATHER': 77,
 'MINDWAVE': 38,
 'GELLER, URI': 4,
 'NELSON, CANDACE': 77,
 'WIND-WARRIOR/PAMELA ': 21,
 'EARTH-LORD/KYLE BROC': 21,
 'TASKMASTER': 127,
 'REDWING': 270,
 'DIAMONDBACK II/RACHE': 236,
 'LUDLUM, ROSS': 8,
 'OSWALD': 8,
 'HOFFMAN': 8,
 'NILES, SEN. CATHERIN': 6,
 'FAGIN': 8,
 'ASHER, MICHAEL': 8,
 'ORWELL': 8,
 'ASHER, DONNA': 7,
 'ASHER, CARL': 7,
 'SHARPE, ROSALINDE': 109,
 'MASTERMIND IV/MARTIN': 15,
 'KNIGHT, MISTY': 333,
 'LANE, LOIS': 117,
 'TYPHOID MARY/MARY ME': 90,
 'LOPEZ, DONNA': 4,
 'STICK': 32,
 'HAMMER II/': 10,
 'EEL II/EDWARD LAVELL': 147,
 'OX III': 31,
 'BOWEN, FATHER MICHAE': 70,
 'VESPER': 6,
 "MIND'S EYE/MEACHAM": 6,
 'BACILLUS': 6,
 'STRONTIUM-90/': 6,
 'IRON FIST/DANIEL RAN': 550,
 'HAWKINS, DR. EDWIN E': 3,
 'DR. NEMESIS/DR. STOC': 8,
 'BLACK GOLIATH/DR. WI': 185,
 'POWER MAN/ERIK JOSTE': 421,
 'MENTOR/ALARS [ETERNA': 157,
 'ISAAC': 136,
 'DEMEITYR': 5,
 'VERMICELLI, GIANNI': 5,
 'FRANKENSTEIN MONSTER': 40,
 'MULTIPLE MAN/JAMES A': 310,
 'ALVAREZ, FELIX': 59,
 'WHIPLASH/MARK SCARLO': 206,
 'HAMMER, JUSTIN': 152,
 'DARE, KATHLEEN': 45,
 'BLIZZARD II/DONALD G': 65,
 'MADAME MASQUE/GIULIE': 140,
 'MADAME MASQUE II/': 23,
 'PEARSON, MARCY': 52,
 'DEADPOOL/JACK/WADE W': 208,
 'HUMBUG/PROF. B. MITT': 17,
 'COPYCAT/VANESSA': 126,
 'DIRTY WOLFF': 8,
 'LANG, CASSANDRA CASS': 145,
 'CORD, EDWIN': 70,
 'GREY GARGOYLE/PAUL P': 144,
 "O'CONNOR, A.C. ACE": 12,
 'PLUNDERER/LORD EDGAR': 52,
 'MARTINS': 4,
 'FIREFALL III/ARCHIE ': 9,
 'LANE, SILAS': 25,
 'SPACE PHANTOM': 61,
 'FIREFALL/KARAS': 8,
 'NITRO/ROBERT L. HUNT': 120,
 'HAMMERHEAD': 142,
 'OSBORN, NORMIE': 176,
 'PROFESSOR POWER/ANTH': 58,
 'DARKHAWK/CHRIS POWEL': 352,
 'LIVING LIGHTNING/MIG': 352,
 'KALA': 48,
 'RAGE/ELVIN DARYL HAL': 280,
 'GROTESK': 50,
 'BRUTUS': 25,
 'SERSI/SYLVIA': 581,
 'MIDNIGHT III/JEFFREY': 33,
 'HOWARD, PROFESSOR MA': 38,
 'BLACK KNIGHT/SIR PER': 74,
 "JACK O'DIAMONDS": 13,
 'MAXIMUS [INHUMAN]': 164,
 'MEDUSA/MEDUSALITH AM': 449,
 'EXECUTIONER III/BRUT': 18,
 'SAPRISTI, JERRY': 96,
 'QUICKSAND': 143,
 'MONGOOSE': 62,
 'IMPALA/': 60,
 'LORELEI II/MELODI [A': 122,
 'MASTERSON, KEVIN': 127,
 ...}



In [50]:

    
G.degree('MACE')









    Out[50]:





9



In [51]:

    
# degree_centrality of node 'MACE' == standardized degree
G.degree('MACE')/(G.order()-1)









    Out[51]:





0.0014007782101167316



In [52]:

    
nx.degree_centrality(G)['MACE']









    Out[52]:





0.0014007782101167316

2. Betweenness Concept

on how many (shortest) paths does a node lie and thus enables brookerage?
Calculation



In [53]:

    
?nx.betweenness_centrality # SLOW!!!

3. Closeness Concept

Intuition: One still wants to be in the middle of things, not too far from the center
Calculation: Sum of Reciprokal Shortest Paths



In [54]:

    
?nx.closeness_centrality # SLOW!!!

3. Eigenvector Concept

Page Rank => Pages, which are linked by popular pages, have a higher Page Rank
finds the most influential nodes



In [55]:

    
nx.eigenvector_centrality(G)









    Out[55]:





{'LITTLE, ABNER': 0.002319111328491201,
 'PRINCESS ZANDA': 0.0016407228499655294,
 "BLACK PANTHER/T'CHAL": 0.0690453152743753,
 'STEELE, SIMON/WOLFGA': 0.0011927849258506224,
 'FORTUNE, DOMINIC': 0.00214698263655152,
 'ERWIN, CLYTEMNESTRA': 0.006381361736749264,
 'IRON MAN/TONY STARK ': 0.10254000426744447,
 'IRON MAN IV/JAMES R.': 0.04378632893144683,
 'RAVEN, SABBATH II/EL': 0.0014601069197244237,
 'CARNIVORE/COUNT ANDR': 0.007853117625566265,
 'GHOST': 0.003763175397583633,
 'ZIMMER, ABE': 0.008785119590995075,
 'FU MANCHU': 0.0035654881251059637,
 'TARR, BLACK JACK': 0.001574399878665774,
 'SMITH, SIR DENIS NAY': 0.0015596944337678397,
 'SHANG-CHI': 0.016531979931656296,
 'STARSHINE II/BRANDY ': 0.02007851377960658,
 'ROM, SPACEKNIGHT': 0.03284583649431943,
 'MAN-THING/THEODORE T': 0.025162867559671565,
 'WU, LEIKO': 0.005940407411039808,
 'DOCTOR DREDD': 0.0010980285607547272,
 'RESTON, CLIVE': 0.002609210835812881,
 'JACKSON, STEVE': 0.008921608976739485,
 'MYSTIQUE/RAVEN DARKH': 0.038651983785571234,
 'BLOB/FRED J. DUKES': 0.04486783517677262,
 'TORPEDO III/BROCK JO': 0.034884902368305666,
 'PYRO/ALLERDYCE JOHNN': 0.035250422403944354,
 'AVALANCHE/DOMINIC PE': 0.03311683134414936,
 'ROGUE /': 0.07423333138823617,
 'DESTINY II/IRENE ADL': 0.028439101243559767,
 'HYBRID/JAMES JIMMY M': 0.004556105648872598,
 'CLARK, SARAH': 0.004092664031105138,
 'KILLBURN, MACK': 0.0012464593258747442,
 'JONES, TAMMY ANNE': 0.006525692821986559,
 'JONES, LORRAINE LORR': 0.006525692821986559,
 'JONES, NELL': 0.005665431882115409,
 'JONES, DANIEL DANNY': 0.006525692821986559,
 'CLARK, JOHN': 0.004092664031105138,
 'SUB-MARINER/NAMOR MA': 0.08071020397875682,
 'VASHTI': 0.025255682044351482,
 'SEAWEED MAN': 0.0006683865286796943,
 'NOVA/RICHARD RIDER': 0.06307628798632348,
 'FIRESTAR/ANGELICA JO': 0.059118371015560674,
 'THUNDERBALL/DR. ELIO': 0.030109453821618098,
 'NAMORITA/NITA PRENTI': 0.058502209223105214,
 'SPEEDBALL/ROBBIE BAL': 0.05281798221295851,
 'HULK/DR. ROBERT BRUC': 0.0859413840136703,
 'NIGHT THRASHER/DUANE': 0.036259777842949294,
 'SPIDER-MAN/PETER PAR': 0.10023149771757472,
 'JUSTICE II/VANCE AST': 0.047362613032710714,
 'TIGRA/GREER NELSON': 0.0607238095770853,
 'WASP/JANET VAN DYNE ': 0.09142974734897395,
 'GALACTUS/GALAN': 0.0494644860735968,
 'MOCKINGBIRD/DR. BARB': 0.059616614943047784,
 'SILVER SURFER/NORRIN': 0.06475160000337019,
 'HAWK': 0.08889344508089247,
 'LORD CHAOS': 0.022984489366703748,
 'SCARLET WITCH/WANDA ': 0.1008204005491928,
 'QUICKSILVER/PIETRO M': 0.08067353877854178,
 'UATU': 0.06154735742852302,
 'CAPTAIN AMERICA': 0.11677372373135192,
 'THUNDERSTRIKE/ERIC K': 0.05674053412088043,
 'WONDER MAN/SIMON WIL': 0.08854031618692418,
 'DEATHLOK III/MICHAEL': 0.023837491177232616,
 'OBLIVION': 0.014205175052629531,
 'WOLVERINE/LOGAN ': 0.09836377759402931,
 'SHE-HULK/JENNIFER WA': 0.0918748188914327,
 'VISION ': 0.09853313190192498,
 'PSYLOCKE/ELISABETH B': 0.06437614797769635,
 'MARVEL GIRL/JEAN GRE': 0.0777408730910226,
 'STORM/ORORO MUNROE S': 0.08842487708748473,
 'ETERNITY/ADAM QADMON': 0.04455033028470033,
 "KISMET/J'RIDIA STARD": 0.027879083843373446,
 'IN-BETWEENER': 0.015578851525664609,
 'MR. FANTASTIC/REED R': 0.09974446312151763,
 'ANGEL/WARREN KENNETH': 0.088888856997601,
 'DEATH': 0.04369295166356534,
 'MASTER ORDER': 0.02141969486014087,
 'JUBILEE/JUBILATION L': 0.0386612225201024,
 'THING/BENJAMIN J. GR': 0.10078175097219369,
 'INVISIBLE WOMAN/SUE ': 0.09507497062131166,
 'INFINITY II': 0.021346509247766078,
 'PUNISHER II/FRANK CA': 0.03710544225204756,
 'ANDROMEDA/ANDROMEDA ': 0.020019250409495617,
 'BEAST/HENRY &HANK& P': 0.09549833699434099,
 'GHOST RIDER III/DAN ': 0.02817277017408446,
 'CYCLOPS/SCOTT SUMMER': 0.09041048930376817,
 'LIVING LASER/ARTHUR ': 0.011820227707680842,
 'CABE, BETHANY': 0.01169916561116182,
 'SPYMASTER/JAKE JORDA': 0.004544291422787547,
 'HOGAN, VIRGINIA PEPP': 0.024715825907491145,
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 'BEAST 2013': 0.00035087701823476475,
 'ANGEL 2013': 0.00035087701823476475,
 'PROFESSOR XAVIER 201': 0.0019064413548246437,
 'NAGAN, DR. ARTHUR': 0.00854425055761079,
 'CHONDU': 0.00935747527307995,
 'MORGAN, JERROLD JERR': 0.00854425055761079,
 'RUBY': 0.011259131556135954,
 'WILLIAMS, MINDY': 0.0061277853400435334,
 'ARAGORN': 0.01671096189352005,
 'OSHIMA': 0.00034462954050628214,
 'SILVER SAMURAI/KENYU': 0.01915836484322174,
 'GOGO TAMAGO/': 0.0014945989091233833,
 'EVERWRAITH/': 0.00034462954050628214,
 'BAYMAX': 0.0072850608252480265,
 'TAKACHIHO, MRS.': 0.00034462954050628214,
 'SUNFIRE/SHIRO YOSHID': 0.047491221763890194,
 'HONEY LEMON/': 0.0014945989091233833,
 'TAKACHIHO, HIRO': 0.0072850608252480265,
 'STRONG GUY/GUIDO CAR': 0.04118496220653061,
 'HUDSON, HEATHER': 0.042849645676179146,
 'SASQUATCH/WALTER LAN': 0.05577668724813878,
 'HARKNESS, AGATHA': 0.04565439047244778,
 'THANOS DOPPELGANGER': 0.028528283241846794,
 'MAGUS': 0.03135632325387104,
 'LIVING TRIBUNAL': 0.03116197047470284,
 'TRIAX': 0.0019209046113751183,
 'INFINITY THRALL': 0.000937528141470714,
 'HIGH EVOLUTIONARY/HE': 0.039386575111562794,
 'NOBILUS': 0.005545945342059748,
 'LOVE': 0.011025413379358534,
 'HATE': 0.011025413379358534,
 'WALSH, LYNN': 0.002162950371267821,
 'URICH, DORIS': 0.0038717379076564154,
 'SUNDRAGON/PAMELA DOU': 0.0016581000651511835,
 'FRIEDLANDER, SHARON': 0.01732592748887119,
 'MACTAGGERT, MOIRA KI': 0.04041652350532528,
 'SPIDER-MAN III/MARTH': 0.007467381785878276,
 'RANGER I/': 0.002114275983043979,
 'HARGROVE, ELIAS': 0.0019460649063285018,
 'HOBGOBLIN V/JASON PH': 0.013355250550082992,
 'ELECTRO/MAX DILLON': 0.03347890213081213,
 'REINHOLDT': 0.0019460649063285018,
 'CITIZEN V III/DALLAS': 0.02083355025573503,
 'FIXER II/PAUL NORBER': 0.030637953784826668,
 'SHE-WOLF/PAULETTE BR': 0.0009298839424330505,
 'CITIZEN V II/HELMUT ': 0.03355097979042616,
 'CITIZEN V/JOHN WATKI': 0.004422231102986955,
 'ZEMO/BARON HEINRICH ': 0.009789590307549152,
 'HALDEMAN, CALVIN': 0.0017549425736407124,
 'FLAG-SMASHER': 0.00948223440158499,
 'CUSHING, KATE': 0.015965495065917167,
 'SPIDER-WOMAN IV/CHAR': 0.0022350357195549484,
 'HUNGER': 0.003590128625403558,
 'MARROW/SARAH ': 0.02910010727564939,
 'CALLISTO': 0.02183977436206683,
 'SMASHER III': 0.0009328121768352336,
 'GLENN, HEATHER': 0.009473426705739372,
 'MINDWAVE': 0.002395712754818807,
 'GELLER, URI': 0.00039439138780918414,
 'NELSON, CANDACE': 0.007725081414112035,
 'WIND-WARRIOR/PAMELA ': 0.0021748320191241487,
 'EARTH-LORD/KYLE BROC': 0.0021748320191241487,
 'TASKMASTER': 0.017002944689065266,
 'REDWING': 0.03720526868202887,
 'DIAMONDBACK II/RACHE': 0.022556741199964366,
 'LUDLUM, ROSS': 2.1068206923678553e-17,
 'OSWALD': 2.1068206923678553e-17,
 'HOFFMAN': 2.1068206923678553e-17,
 'NILES, SEN. CATHERIN': 1.6620659974096033e-17,
 'FAGIN': 2.1068206923678553e-17,
 'ASHER, MICHAEL': 2.1068206923678553e-17,
 'ORWELL': 2.1068206923678553e-17,
 'ASHER, DONNA': 1.9136823410978077e-17,
 'ASHER, CARL': 1.9136823410978077e-17,
 'SHARPE, ROSALINDE': 0.009692808785526698,
 'MASTERMIND IV/MARTIN': 0.0030899966391554692,
 'KNIGHT, MISTY': 0.03269604047860615,
 'LANE, LOIS': 0.0180927143491654,
 'TYPHOID MARY/MARY ME': 0.008999260035784211,
 'LOPEZ, DONNA': 0.00046946968894888294,
 'STICK': 0.0028758577339138935,
 'HAMMER II/': 0.0010122851961230888,
 'EEL II/EDWARD LAVELL': 0.017634354089559972,
 'OX III': 0.0032151332753627623,
 'BOWEN, FATHER MICHAE': 0.012124657461843496,
 'VESPER': 0.00034006457674097453,
 "MIND'S EYE/MEACHAM": 0.00034006457674097453,
 'BACILLUS': 0.00034006457674097453,
 'STRONTIUM-90/': 0.00034006457674097453,
 'IRON FIST/DANIEL RAN': 0.05423925143267104,
 'HAWKINS, DR. EDWIN E': 0.00027453304018629443,
 'DR. NEMESIS/DR. STOC': 0.002262383655142356,
 'BLACK GOLIATH/DR. WI': 0.027418751282973376,
 'POWER MAN/ERIK JOSTE': 0.03795042802152426,
 'MENTOR/ALARS [ETERNA': 0.026036228110275773,
 'ISAAC': 0.02357105539714699,
 'DEMEITYR': 0.0006379905730267591,
 'VERMICELLI, GIANNI': 0.0008959349051319883,
 'FRANKENSTEIN MONSTER': 0.00734505111032234,
 'MULTIPLE MAN/JAMES A': 0.03998375229013037,
 'ALVAREZ, FELIX': 0.007321163205440231,
 'WHIPLASH/MARK SCARLO': 0.0225124789928324,
 'HAMMER, JUSTIN': 0.014085898305685293,
 'DARE, KATHLEEN': 0.007106991980459761,
 'BLIZZARD II/DONALD G': 0.007444700198877596,
 'MADAME MASQUE/GIULIE': 0.014910453145260487,
 'MADAME MASQUE II/': 0.0027582699915496096,
 'PEARSON, MARCY': 0.00683205110087201,
 'DEADPOOL/JACK/WADE W': 0.015940379529163138,
 'HUMBUG/PROF. B. MITT': 0.0016341134932098434,
 'COPYCAT/VANESSA': 0.013212630388946165,
 'DIRTY WOLFF': 0.0005269303883816583,
 'LANG, CASSANDRA CASS': 0.02163879503622818,
 'CORD, EDWIN': 0.00684129086083052,
 'GREY GARGOYLE/PAUL P': 0.021351224220248526,
 "O'CONNOR, A.C. ACE": 0.0006403496396719603,
 'PLUNDERER/LORD EDGAR': 0.00729217304244957,
 'MARTINS': 0.00040331715979132523,
 'FIREFALL III/ARCHIE ': 0.00029204028892064905,
 'LANE, SILAS': 0.002823314347329941,
 'SPACE PHANTOM': 0.010444030082975904,
 'FIREFALL/KARAS': 0.0003392794408084004,
 'NITRO/ROBERT L. HUNT': 0.012568160399372507,
 'HAMMERHEAD': 0.012398618500737113,
 'OSBORN, NORMIE': 0.014374117383979326,
 'PROFESSOR POWER/ANTH': 0.008286760867353095,
 'DARKHAWK/CHRIS POWEL': 0.04192163319558288,
 'LIVING LIGHTNING/MIG': 0.042903397150529515,
 'KALA': 0.009582492984452746,
 'RAGE/ELVIN DARYL HAL': 0.034771647076375804,
 'GROTESK': 0.009829881282721175,
 'BRUTUS': 0.0062914894766603145,
 'SERSI/SYLVIA': 0.06154982509305897,
 'MIDNIGHT III/JEFFREY': 0.003715743347150943,
 'HOWARD, PROFESSOR MA': 0.003683808767256842,
 'BLACK KNIGHT/SIR PER': 0.01218626947160782,
 "JACK O'DIAMONDS": 0.0013361713507147861,
 'MAXIMUS [INHUMAN]': 0.018959715052827196,
 'MEDUSA/MEDUSALITH AM': 0.05133789727579105,
 'EXECUTIONER III/BRUT': 0.0031977245127849437,
 'SAPRISTI, JERRY': 0.010976481448294065,
 'QUICKSAND': 0.013643068004433353,
 'MONGOOSE': 0.009139423650134574,
 'IMPALA/': 0.005016988748089157,
 'LORELEI II/MELODI [A': 0.01579781316587777,
 'MASTERSON, KEVIN': 0.016727752465271337,
 ...}

1. Exercise

Determine the 20 most popular Heros by their degrees
Draw the overall Degree Distribution (plt.hist)



In [17]:

    
# TODO









    Out[17]:





[('CAPTAIN AMERICA', 1908),
 ('SPIDER-MAN/PETER PAR', 1737),
 ('IRON MAN/TONY STARK ', 1522),
 ('THING/BENJAMIN J. GR', 1416),
 ('MR. FANTASTIC/REED R', 1379),
 ('WOLVERINE/LOGAN ', 1371),
 ('HUMAN TORCH/JOHNNY S', 1361),
 ('SCARLET WITCH/WANDA ', 1325),
 ('THOR/DR. DONALD BLAK', 1289),
 ('BEAST/HENRY &HANK& P', 1267),
 ('VISION ', 1241),
 ('INVISIBLE WOMAN/SUE ', 1236),
 ('HAWK', 1175),
 ('WASP/JANET VAN DYNE ', 1091),
 ('ANT-MAN/DR. HENRY J.', 1082),
 ('CYCLOPS/SCOTT SUMMER', 1081),
 ('ANGEL/WARREN KENNETH', 1073),
 ('STORM/ORORO MUNROE S', 1072),
 ('SHE-HULK/JENNIFER WA', 1071),
 ('DR. STRANGE/STEPHEN ', 1067)]



In [18]:

    
# TODO



In [19]:

    
# Cut of the hightest values (>500)
# TODO

2. Exercise

Determine the 20 most influential Heros by their eigenvector-centrality
Determine also their degrees and compare with the degree distribution: Are the most influential also the most popular heros?



In [31]:

    
# TODO

Communities

Connected Components (Graph Theorie)



In [32]:

    
cc = list(nx.connected_components(G))



In [33]:

    
len(cc)









    Out[33]:





4



In [34]:

    
[len(c) for c in cc]









    Out[34]:





[6408, 9, 7, 2]



In [35]:

    
[list(c)[:10] for c in cc]









    Out[35]:





[['VAGABOND/PRISCILLA L',
  'WANDERER',
  'REESE, MURRAY',
  'KID QUARRY',
  'ROWEN, CARL',
  'ANGLER',
  'MELTER II/BRUNO HORG',
  'QUISLING',
  'MARTINEX',
  'JUSUR'],
 ['OSWALD',
  'ORWELL',
  'ASHER, MICHAEL',
  'FAGIN',
  'HOFFMAN',
  'NILES, SEN. CATHERIN',
  'LUDLUM, ROSS',
  'ASHER, DONNA',
  'ASHER, CARL'],
 ['AMAZO-MAXI-WOMAN/',
  'MANT/ERNEST',
  'DARLEGUNG, GEN.',
  'SWORDSMAN IV/',
  'MISS THING/MARY',
  'STERLING',
  'PANTHER CUB/'],
 ['MASTER OF VENGEANCE', 'STEEL SPIDER/OLLIE O']]



In [36]:

    
cc[3]









    Out[36]:





{'MASTER OF VENGEANCE', 'STEEL SPIDER/OLLIE O'}

'Real' Communities

Cliques: Every member is connected with each other members
k-Cores: Every member is connected with at least k other members
... n-Cliques, n-Clubs, ... (more restrictive than k-Cores)



In [37]:

    
import community



In [38]:

    
partition = community.best_partition(G)
partition # hero -> partion-no.









    Out[38]:





{'LITTLE, ABNER': 0,
 'PRINCESS ZANDA': 1,
 "BLACK PANTHER/T'CHAL": 2,
 'STEELE, SIMON/WOLFGA': 0,
 'FORTUNE, DOMINIC': 0,
 'ERWIN, CLYTEMNESTRA': 0,
 'IRON MAN/TONY STARK ': 0,
 'IRON MAN IV/JAMES R.': 0,
 'RAVEN, SABBATH II/EL': 0,
 'CARNIVORE/COUNT ANDR': 1,
 'GHOST': 0,
 'ZIMMER, ABE': 0,
 'FU MANCHU': 1,
 'TARR, BLACK JACK': 3,
 'SMITH, SIR DENIS NAY': 3,
 'SHANG-CHI': 1,
 'STARSHINE II/BRANDY ': 3,
 'ROM, SPACEKNIGHT': 3,
 'MAN-THING/THEODORE T': 3,
 'WU, LEIKO': 0,
 'DOCTOR DREDD': 3,
 'RESTON, CLIVE': 3,
 'JACKSON, STEVE': 3,
 'MYSTIQUE/RAVEN DARKH': 3,
 'BLOB/FRED J. DUKES': 3,
 'TORPEDO III/BROCK JO': 2,
 'PYRO/ALLERDYCE JOHNN': 3,
 'AVALANCHE/DOMINIC PE': 3,
 'ROGUE /': 3,
 'DESTINY II/IRENE ADL': 3,
 'HYBRID/JAMES JIMMY M': 3,
 'CLARK, SARAH': 3,
 'KILLBURN, MACK': 3,
 'JONES, TAMMY ANNE': 3,
 'JONES, LORRAINE LORR': 3,
 'JONES, NELL': 3,
 'JONES, DANIEL DANNY': 3,
 'CLARK, JOHN': 3,
 'SUB-MARINER/NAMOR MA': 2,
 'VASHTI': 2,
 'SEAWEED MAN': 2,
 'NOVA/RICHARD RIDER': 4,
 'FIRESTAR/ANGELICA JO': 4,
 'THUNDERBALL/DR. ELIO': 5,
 'NAMORITA/NITA PRENTI': 2,
 'SPEEDBALL/ROBBIE BAL': 4,
 'HULK/DR. ROBERT BRUC': 2,
 'NIGHT THRASHER/DUANE': 4,
 'SPIDER-MAN/PETER PAR': 1,
 'JUSTICE II/VANCE AST': 4,
 'TIGRA/GREER NELSON': 2,
 'WASP/JANET VAN DYNE ': 0,
 'GALACTUS/GALAN': 2,
 'MOCKINGBIRD/DR. BARB': 0,
 'SILVER SURFER/NORRIN': 2,
 'HAWK': 0,
 'LORD CHAOS': 2,
 'SCARLET WITCH/WANDA ': 0,
 'QUICKSILVER/PIETRO M': 2,
 'UATU': 2,
 'CAPTAIN AMERICA': 0,
 'THUNDERSTRIKE/ERIC K': 5,
 'WONDER MAN/SIMON WIL': 0,
 'DEATHLOK III/MICHAEL': 6,
 'OBLIVION': 5,
 'WOLVERINE/LOGAN ': 3,
 'SHE-HULK/JENNIFER WA': 2,
 'VISION ': 0,
 'PSYLOCKE/ELISABETH B': 3,
 'MARVEL GIRL/JEAN GRE': 3,
 'STORM/ORORO MUNROE S': 3,
 'ETERNITY/ADAM QADMON': 2,
 "KISMET/J'RIDIA STARD": 3,
 'IN-BETWEENER': 2,
 'MR. FANTASTIC/REED R': 2,
 'ANGEL/WARREN KENNETH': 3,
 'DEATH': 2,
 'MASTER ORDER': 2,
 'JUBILEE/JUBILATION L': 3,
 'THING/BENJAMIN J. GR': 2,
 'INVISIBLE WOMAN/SUE ': 2,
 'INFINITY II': 2,
 'PUNISHER II/FRANK CA': 1,
 'ANDROMEDA/ANDROMEDA ': 2,
 'BEAST/HENRY &HANK& P': 3,
 'GHOST RIDER III/DAN ': 6,
 'CYCLOPS/SCOTT SUMMER': 3,
 'LIVING LASER/ARTHUR ': 0,
 'CABE, BETHANY': 0,
 'SPYMASTER/JAKE JORDA': 0,
 'HOGAN, VIRGINIA PEPP': 0,
 'HOGAN, HAROLD J. HAP': 0,
 'BATROC/GEORGES BATRO': 0,
 'CARTER, SHARON': 0,
 'KARNILLA [ASGARDIAN]': 5,
 'HEIMDALL [ASGARDIAN]': 5,
 'ENCHANTRESS/AMORA/HE': 5,
 'LOKI [ASGARDIAN]': 5,
 'NIGHTMARE/EDVARD HAB': 2,
 'ZANIAC/BRAD WOLFE': 5,
 'THOR/DR. DONALD BLAK': 5,
 'SONIC': 0,
 'CHAIN': 0,
 'SPIDER-WOMAN II/JULI': 0,
 'CARPENTER, RACHEL': 0,
 'GRASP': 0,
 'CLEMSON, MIKE': 0,
 'COOPER, DR. VALERIE': 3,
 'CARPENTER, LARRY': 0,
 'RED GUARDIAN III/DR.': 2,
 'DR. STRANGE/STEPHEN ': 2,
 'DOLLAR BILL': 2,
 'HELLCAT/PATSY WALKER': 2,
 'NIGHTHAWK II/KYLE RI': 2,
 'DEVIL-SLAYER/ERIC SI': 2,
 'NORRISS, SISTER BARB': 2,
 'BANNER, BETTY ROSS T': 2,
 'ROSS, GEN. THADDEUS ': 2,
 'COBALT MAN': 3,
 'MASTERMIND/JASON WYN': 3,
 'ROBERTS, TED': 3,
 'ARMBRUSTER, COLONEL ': 2,
 'GORGON [INHUMAN]': 2,
 'LOCKJAW [INHUMAN]': 2,
 'CRYSTAL [INHUMAN]': 2,
 'BLACK BOLT/BLACKANTO': 2,
 'TRITON': 2,
 'KARNAK [INHUMAN]': 2,
 'WARLOCK II/ADAM WARL': 2,
 'ANALYZER': 5,
 'MAN-BEAST': 3,
 'ABOMINATION/EMIL BLO': 2,
 'RHINO': 1,
 'WILSON, JIM': 2,
 'JUGGERNAUT/CAIN MARK': 3,
 'PROFESSOR X/CHARLES ': 3,
 'CORBEAU, DR. PETER': 3,
 'BRICKFORD, CLAY': 0,
 'MISSING LINK': 3,
 'STACY, PAUL': 1,
 'VENOM/EDDIE BROCK': 1,
 'PARKER, MAY': 1,
 'STACY, ARTHUR': 1,
 'STACY, JILL': 1,
 'BLADE': 6,
 'ROBERTSON, JOE': 1,
 'FORTUNATO, GIACOMO J': 1,
 'MORBIUS/DR. MICHAEL ': 1,
 'LEEDS, BETTY BRANT': 1,
 'KINGPIN/WILSON FISK': 1,
 'GARTH, DONNA': 2,
 'ZOMBIE/SIMON GARTH': 2,
 'WATSON-PARKER, MARY ': 1,
 'WATSON, ANNA': 1,
 'SPAULDING, PETER': 2,
 'MACHINE MAN/X-51': 2,
 'JOCASTA': 2,
 'GARVIN, GEARS': 0,
 'ULTRON': 0,
 'CALDRONE, JAVIER': 1,
 'JAMESON, J. JONAH': 1,
 'DOLMAN': 1,
 'URICH, BEN': 1,
 'KWAN, TERRY': 1,
 'OVERRIDE/DR. GREGORY': 1,
 'ICEMAN/ROBERT BOBBY ': 3,
 'THOMPSON, EUGENE FLA': 1,
 'THORSON, DR. WALTER': 1,
 'MAXWELL, MORRIS': 1,
 'LUMLEY, JUDY': 1,
 'GRANT, GLORIA GLORY': 1,
 'FAIRMONT, HANNAH': 5,
 'MCCORMICK, BARRY': 1,
 'TOKKOTS': 5,
 'STAR THIEF II': 2,
 'GARGOYLE II/ISAAC CH': 2,
 'KUBIK': 2,
 'CLOUD': 2,
 'MANSLAUGHTER': 2,
 'SOUTHERN, CANDY': 3,
 'INTERLOPER': 2,
 'MOONDRAGON/HEATHER D': 2,
 'DRAGON OF THE MOON': 2,
 'HUMAN TORCH/JOHNNY S': 2,
 'BEYONDER': 3,
 'DR. OCTOPUS/OTTO OCT': 1,
 'WARD, SEN. STEWART': 1,
 'BULLSEYE II/BENJAMIN': 1,
 'MISTER HYDE/CALVIN Z': 0,
 'COACHWHIP': 0,
 'COBRA/KLAUS VORHEES': 0,
 'ASP II/CLEO': 0,
 'BUSHMASTER II/QUINCY': 0,
 'FER DE LANCE/TERESA': 0,
 'BLACK MAMBA/TANYA SE': 0,
 'BLACK RACER/': 0,
 'ROCK PYTHON': 0,
 'ANACONDA/BLANCHE SIT': 0,
 'PUFF ADDER': 0,
 'BOOMSLANG/': 0,
 'RATTLER': 0,
 'COPPERHEAD III/DAVIS': 0,
 'MOREAU, DAVID': 3,
 'RANSOME, JENNIFER AM': 3,
 'MOREAU, PHILLIP': 3,
 'HAVOK/ALEX SUMMERS ': 7,
 'WIPEOUT': 3,
 'DAZZLER II/ALLISON B': 3,
 'LONGSHOT': 3,
 'SUMMERS, MADELYNE MA': 3,
 'COLOSSUS II/PETER RA': 3,
 'MALICE IV': 3,
 'SUMMERS, NATHAN CHRI': 3,
 'POLARIS/LORNA DANE': 3,
 'MR. SINISTER/NATHAN ': 3,
 "N'ASTIRH": 3,
 'GATEWAY': 3,
 'TILBY, TRISH/PATRICI': 3,
 'CONOVER, REV. WILLIA': 3,
 'CONOVER, HANNAH': 3,
 'WOLFSBANE/RAHNE SINC': 3,
 'WARLOCK III': 3,
 'SUNSPOT/ROBERTO DACO': 3,
 'MAGIK/ILLYANA RASPUT': 3,
 'MAGNETO/MAGNUS/ERIC ': 3,
 'CANNONBALL II/SAM GU': 3,
 'MIRAGE II/DANIELLE M': 3,
 "S'YM": 3,
 'GRIFFITH, D.W.': 1,
 'MACE': 1,
 'CAGE, LUKE/CARL LUCA': 1,
 'PIPELINE/CORMICK GRI': 3,
 'PUNCHOUT': 3,
 'HAWKSHAW': 3,
 'MOLECULE MAN/OWEN RE': 2,
 'JARVIS, EDWIN ': 0,
 'GHOST RIDER II/JOHNN': 6,
 'ANT-MAN/DR. HENRY J.': 0,
 'ARBOGAST, BAMBI': 0,
 'EGGHEAD/PROF. ELIHAS': 2,
 'STARR, TRIXIE TRISH': 2,
 'STANKOWICZ, FABIAN': 0,
 'HERCULES [GREEK GOD]': 5,
 'BLACK WIDOW/NATASHA ': 0,
 'MOON KNIGHT/MARC SPE': 2,
 'DRAX/ARTHUR DOUGLAS': 2,
 'HARDY, MORGAN MACNEI': 0,
 'SPIDER-MAN CLONE/BEN': 1,
 'KAINE': 1,
 'GREGOR': 1,
 'RAVEN, LT. JACOB': 1,
 'TREVANE, DET. CONNOR': 1,
 'GRIM HUNTER/KRAVINOF': 1,
 'ELLIS, KEN': 1,
 'BYRNES, GAYLE WATSON': 1,
 'TOMBSTONE/LONNIE THO': 1,
 'SPIDERCIDE': 1,
 'JACKAL/MILES WARREN': 1,
 'JACK': 1,
 'CAPUTO, DR. JULIA': 1,
 'GUARDIAN IV': 1,
 'GREEN GOBLIN IV/PHIL': 1,
 'STACY, GWEN (CLONE)': 1,
 'BUCKNER, GRANT': 1,
 'STUNNER/ANGELINA BRA': 1,
 'TRAINER, DR. SEWARD': 1,
 'TRAVELLER, DR. JUDAS': 1,
 'TOWER, BLAKE': 1,
 'LOCKER, MR.': 1,
 'HINDSIGHT LAD/CARLTO': 1,
 'SPEEDBALL II/DARRION': 1,
 'GEE/ALEX POWER': 1,
 'TURBO II (A)/MICHIKO': 4,
 'BLACK CAT/FELICIA HA': 1,
 "D'SPAYRE": 5,
 'PROUST, PAUL': 1,
 'MACHETE/FERDINAND LO': 0,
 'ZARAN/MAXIMILLIAN ZA': 3,
 'SILVER SABLE': 1,
 'TRICKSHOT': 0,
 'SWORDSMAN/JACQUES DU': 2,
 'SANDMAN/WILLIAM BAKE': 1,
 'PEREGRINE, LE/FRANCK': 2,
 'RED SKULL II/ALBERT ': 0,
 'GUDRUN [ASGARDIAN]': 5,
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 'ORWELL': 11,
 'ASHER, DONNA': 11,
 'ASHER, CARL': 11,
 'SHARPE, ROSALINDE': 1,
 'MASTERMIND IV/MARTIN': 3,
 'KNIGHT, MISTY': 1,
 'LANE, LOIS': 3,
 'TYPHOID MARY/MARY ME': 1,
 'LOPEZ, DONNA': 1,
 'STICK': 1,
 'HAMMER II/': 1,
 'EEL II/EDWARD LAVELL': 0,
 'OX III': 1,
 'BOWEN, FATHER MICHAE': 3,
 'VESPER': 6,
 "MIND'S EYE/MEACHAM": 6,
 'BACILLUS': 6,
 'STRONTIUM-90/': 6,
 'IRON FIST/DANIEL RAN': 1,
 'HAWKINS, DR. EDWIN E': 0,
 'DR. NEMESIS/DR. STOC': 0,
 'BLACK GOLIATH/DR. WI': 0,
 'POWER MAN/ERIK JOSTE': 0,
 'MENTOR/ALARS [ETERNA': 2,
 'ISAAC': 2,
 'DEMEITYR': 2,
 'VERMICELLI, GIANNI': 1,
 'FRANKENSTEIN MONSTER': 2,
 'MULTIPLE MAN/JAMES A': 3,
 'ALVAREZ, FELIX': 0,
 'WHIPLASH/MARK SCARLO': 0,
 'HAMMER, JUSTIN': 1,
 'DARE, KATHLEEN': 0,
 'BLIZZARD II/DONALD G': 0,
 'MADAME MASQUE/GIULIE': 0,
 'MADAME MASQUE II/': 0,
 'PEARSON, MARCY': 0,
 'DEADPOOL/JACK/WADE W': 3,
 'HUMBUG/PROF. B. MITT': 1,
 'COPYCAT/VANESSA': 3,
 'DIRTY WOLFF': 3,
 'LANG, CASSANDRA CASS': 0,
 'CORD, EDWIN': 0,
 'GREY GARGOYLE/PAUL P': 0,
 "O'CONNOR, A.C. ACE": 3,
 'PLUNDERER/LORD EDGAR': 2,
 'MARTINS': 3,
 'FIREFALL III/ARCHIE ': 3,
 'LANE, SILAS': 3,
 'SPACE PHANTOM': 0,
 'FIREFALL/KARAS': 3,
 'NITRO/ROBERT L. HUNT': 0,
 'HAMMERHEAD': 1,
 'OSBORN, NORMIE': 1,
 'PROFESSOR POWER/ANTH': 0,
 'DARKHAWK/CHRIS POWEL': 2,
 'LIVING LIGHTNING/MIG': 2,
 'KALA': 2,
 'RAGE/ELVIN DARYL HAL': 4,
 'GROTESK': 5,
 'BRUTUS': 2,
 'SERSI/SYLVIA': 5,
 'MIDNIGHT III/JEFFREY': 1,
 'HOWARD, PROFESSOR MA': 1,
 'BLACK KNIGHT/SIR PER': 2,
 "JACK O'DIAMONDS": 12,
 'MAXIMUS [INHUMAN]': 2,
 'MEDUSA/MEDUSALITH AM': 2,
 'EXECUTIONER III/BRUT': 5,
 'SAPRISTI, JERRY': 5,
 'QUICKSAND': 0,
 'MONGOOSE': 5,
 'IMPALA/': 0,
 'LORELEI II/MELODI [A': 5,
 'MASTERSON, KEVIN': 5,
 ...}

3. Exercise

how many communities/partions have been found?
how many heros are in each community/partition?
how small is the smallest community and who are its members?
draw an histogram, which shows the sizes of the single communities.



In [27]:

    
# TODO: How many partitions?









    Out[27]:





31



In [28]:

    
# TODO: How many heros per partition?









    Out[28]:





[(3, 1585),
 (2, 1266),
 (1, 1143),
 (0, 1137),
 (5, 482),
 (6, 162),
 (4, 153),
 (7, 122),
 (8, 66),
 (10, 62),
 (9, 34),
 (12, 30),
 (13, 26),
 (19, 23),
 (16, 22),
 (17, 21),
 (15, 11),
 (11, 9),
 (22, 8),
 (23, 8),
 (18, 7),
 (25, 7),
 (24, 6),
 (27, 6),
 (14, 5),
 (20, 5),
 (26, 5),
 (29, 5),
 (21, 4),
 (28, 4),
 (30, 2)]



In [40]:

    
# TODO members of the smallest community









    Out[40]:





['STEEL SPIDER/OLLIE O', 'MASTER OF VENGEANCE']



In [30]:

    
# TODO histogram of community sizes

Exercise X

Analyse Donald Trumps World.

Social Network Analysis