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
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.
|Additional Information:||© 2008 Elsevier B.V.|
|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Mathematics|
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