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arxiv: 1501.05471 · v2 · pith:6BLTHPWDnew · submitted 2015-01-22 · 🧮 math.ST · math.PR· stat.TH

Asymptotic Normality of the Chromatic Number of a Random Graph

classification 🧮 math.ST math.PRstat.TH
keywords numberchromaticgraphrandomappropriateasymptoticcenteringdistribution
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In this paper we prove that the limiting distribution of the Chromatic number of a random graph $\mathcal{G}_{n,p}$, with fixed edge-probability $p$, after appropriate centering and scaling is Normal, when the number of vertices $n$, goes to infinity.

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