On the chromatic number of random geometric graphs

Given independent random points X1,...,Xn ∈ℝd with common probability distribution ν, and a positive distance r=r(n)>0, we construct a random geometric graph Gn with vertex set {1,..., n} where distinct i and j are adjacent when {double pipe}Xi-Xj{double pipe}≤r. Here {double pipe}·{double pi...

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Bibliographic Details
Main Authors: McDiarmid, C, Müller, T
Format: Journal article
Language:English
Published: 2011