Mathematics > Probability
[Submitted on 11 Dec 2018]
Title:Counting cliques and cycles in scale-free inhomogeneous random graphs
View PDFAbstract:Scale-free networks contain many small cliques and cycles. We model such networks as inhomogeneous random graphs with regularly varying infinite-variance weights. For these models, the number of cliques and cycles have exact integral expressions amenable to asymptotic analysis. We obtain various asymptotic descriptions for how the average number of cliques and cycles, of any size, grow with the network size. For the cycle asymptotics we invoke the theory of circulant matrices.
Submission history
From: Johan van Leeuwaarden [view email][v1] Tue, 11 Dec 2018 13:21:28 UTC (22 KB)
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