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from IPython.display import Image
Image('dmweb.jpg', width=400)
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Image('largegraph.png', width=400)
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This is a research idea that we can revisit in the future. I propose translating the three dimensional dark matter filament structure into a graph and measuring the following properties across redshift epochs: number of disconnected components, degree distribution, average graph radius per spatial radius, average diameter per spactial diameter, ...
Not only will these graph measurements help us better characterize and understand the dark matter filament structure, they would also be interesting features to compare against the results of N-body simulations. Adam Mantz highlighted the challenge of using a graph structure to represent a 3D structure, but there are many topological properties that would still be informative.
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