Spanning 3-colourable subgraphs of small bandwidth in dense graphs

Böttcher, Julia ORCID: 0000-0002-4104-3635, 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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Identification Number: 10.1016/j.jctb.2007.11.005

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.
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	28 May 2012 15:44
Last Modified:	26 Nov 2024 04:54
URI:	http://eprints.lse.ac.uk/id/eprint/44113

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