Modularity in random regular graphs and lattices.
Given a graph G, the modularity of a partition of the vertex set measures the extent to which edge density is higher within parts than between parts; and the modularity of G is the maximum modularity of a partition. We give an upper bound on the modularity of r-regular graphs as a function of the ed...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
Published: |
2013
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