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
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/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/44113/ |
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