Asymptotic coarse Ricci curvature of inhomogeneous random graph

Mingao Yuan

Statistics & Probability Letters, 2024, vol. 215, issue C

Abstract: In this paper, we study the coarse Ricci curvature of inhomogeneous random graph on vertex set [n]≔{1,2,…,n}. In this graph, each pair of vertices (i,j) forms an edge independently with probability λnαgin,jn for some function g(x,y)∈(0,1], constants λ>0 and α∈[0,1]. We derive the asymptotic coarse Ricci curvature of this random graph. Phase transition phenomenon exists as α varies from zero to one.

Keywords: Inhomogeneous random graph; Coarse Ricci curvature; Phase transition (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110245

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