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The two possible values of the chromatic number of a random graph (2007)

Abstract
Given d \in (0,infty) let k_d be the smallest integer k such that d < 2k\log k. We prove that the chromatic number of a random graph G(n,d/n) is either k_d or k_d+1 almost surely.. Comment: 17 pages, published version

Publication details
Download http://arxiv.org/abs/0706.1725
Repository arXiv (United States)
Keywords Mathematics - Probability, 60C05
Type text