Cluster Tails for Critical Power-Law Inhomogeneous Random Graphs
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DOI: 10.1007/s10955-018-1978-0
Abstract: Recently, the scaling limit of cluster sizes for critical inhomogeneous random graphs of rank-1 type having finite variance but infinite third moment degrees was obtained in Bhamidi et al. (Ann Probab 40:2299–2361, 2012). It was… read more here.
Keywords: random graphs; cluster; inhomogeneous random; power law ... See more keywords
Inhomogeneous random graphs, isolated vertices, and Poisson approximation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2018.9
Abstract: Abstract Consider a graph on randomly scattered points in an arbitrary space, with any two points x, y connected with probability ϕ(x, y). Suppose the number of points is large but the mean number of… read more here.
Keywords: random graphs; number; graphs isolated; inhomogeneous random ... See more keywords