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Spanning 3-colourable subgraphs of small bandwidth in dense graphs

Böttcher, Julia, Schacht, Mathias and Taraz, Anusch (2008) Spanning 3-colourable subgraphs of small bandwidth in dense graphs. Journal of Combinatorial Theory, Series B, 98 (4). pp. 752-777. ISSN 0095-8956

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Abstract

A conjecture by Bollobás and Komlós states the following: For every γ>0 and integers r⩾2 and Δ, there exists β>0 with the following property. If G is a sufficiently large graph with n vertices and minimum degree at least ((r-1)/r+γ)n and H is an r-chromatic graph with n vertices, bandwidth at most βn and maximum degree at most Δ, then G contains a copy of H.

Item Type: Article
Official URL: http://www.journals.elsevier.com/journal-of-combin...
Additional Information: © 2008 Elsevier B.V.
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 28 May 2012 15:44
URL: http://eprints.lse.ac.uk/44113/

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