Böttcher, Julia ORCID: 0000-0002-4104-3635, Schacht, Mathais and Taraz, Anusch
(2009)
*Proof of the bandwidth conjecture of Bollobás and Komlós.*
Mathematische Annalen, 343 (1).
pp. 175-205.
ISSN 1432-1807

Identification Number: 10.1007/s00208-008-0268-6

## Abstract

In this paper we prove the following conjecture by Bollobás and Komlós: For every γ > 0 and integers r ≥ 1 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 β n and maximum degree at most Δ, then G contains a copy of H.

Item Type: | Article |
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Official URL: | http://www.springerlink.com/content/0025-5831/ |

Additional Information: | © 2008 Springer-Verlag |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Date Deposited: | 28 May 2012 15:35 |

Last Modified: | 20 Oct 2021 01:48 |

URI: | http://eprints.lse.ac.uk/id/eprint/44110 |

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