Size of the Largest Component in a Critical Graph

In this paper, by the branching process and the martingale method, we prove that the size of the largest component in the critical random intersection graph Gn,n5/3,p is asymptotically of order n2/3 and the width of scaling window is n−1/3.

Bibliographic Details
Main Authors: Bin Wang, Lang Zou
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/1731802