On randomly colouring locally sparse graphs

We consider the problem of generating a random q-colouring of a graph G=(V,E). We consider the simple Glauber Dynamics chain. We show that if for all v ∈ V the average degree of the subgraph H v induced by the neighbours of v ∈ V is ≪Δ where Δ is the maximum degree and Δ>c 1 ln n...

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Bibliographic Details
Main Authors: Alan Frieze, Juan Vera
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2006-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/496