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Colouring random geometric graphs

A random geometric graph $G_n$ is obtained as follows. We take $X_1, X_2, \ldots, X_n ∈\mathbb{R}^d$ at random (i.i.d. according to some probability distribution ν on $\mathbb{R}^d$). For $i ≠j$ we join $X_i$ and $X_j$ by an edge if $║X_i - X_j ║< r(n)$. We study the properties of the chromatic numb...

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Detalles Bibliográficos
Principais autores: Colin J. H. McDiarmid, Tobias Müller
Formato: Artigo
Idioma:Inglês
Publicado: Discrete Mathematics & Theoretical Computer Science 2005-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Assuntos:
Acceso en liña:https://dmtcs.episciences.org/3440/pdf
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