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Algorithms and Complexity

Research Focus: Random Graphs

The connectivity threshold for the min-degree random graph process

By Mihyun Kang, Youngmee Koh, Tomasz Łuczak, and Sangwook Ree
Random Structures and Algorithms, 29 (2006), 105-120

Abstract

Let {G(n,M)}M > = 0 denote a min-degree random multigraph process in which G(n,M+1) is obtained from G(n,M) by connecting a randomly chosen vertex of a minimum degree with another vertex of the multigraph. We study the probability that the random mutligraph G(n,M) is connected.

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last modified: 08 October 2008