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...

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Bibliographic Details
Main Authors: McDiarmid, C, Skerman, F
Format: Journal article
Language:English
Published: 2013