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math.GR2012★ 8 cited
Random graph products of finite groups are rational duality groups
Michael W. Davis, Matthew Kahle
Given an edge-independent random graph G(n,p), we determine various facts about the cohomology of graph products of groups for the graph G(n,p). In particular, the random graph pro…
math.GR2010★ 11 cited
The fundamental group of random 2-complexes
Eric Babson, Christopher Hoffman, Matthew Kahle
We study Linial-Meshulam random 2-complexes, which are two-dimensional analogues of Erdős-Rényi random graphs. We find the threshold for simple connectivity to be p = n^{-1/2}. Thi…