Groupies in multitype random graphs

A groupie in a graph is a vertex whose degree is not less than the average degree of its neighbors. Under some mild conditions, we show that the proportion of groupies is very close to 1/2 in multitype random graphs (such as stochastic block models), which include Erdős-Rényi random graphs, random b...

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Bibliographic Details
Main Author: Shang, Yilun
Format: Online
Language:English
Published: Springer International Publishing 2016
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4937013/