Planting Colourings Silently

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Planting Colourings Silently

Let k ≥ 3 be a fixed integer and let Zk(G) be the number of k-colourings of the graph G. For certain values of the average degree, the random variable Zk(G(n,m)) is known to be concentrated in the sense that 1 n (lnZk(G(n,m)) − lnE[Zk(G(n,m))]) converges to 0 in probability [Achlioptas and Coja-Oghlan: Proc. FOCS 2008]. In the present paper we prove a significantly stronger concentration result...

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ژورنال

عنوان ژورنال: Combinatorics, Probability and Computing

سال: 2016

ISSN: 0963-5483,1469-2163

DOI: 10.1017/s0963548316000390