Allen, Peter
(2008)
*Covering two-edge-coloured complete graphs with two disjoint monochromatic cycles.*
Combinatorics, Probability and Computing, 17
(4).
pp. 471-486.
ISSN 0963-5483

## Abstract

In 1998 Łuczak Rödl and Szemerédi proved, by means of the Regularity Lemma, that there exists n0 such that, for any n ≥ n0 and two-edge-colouring of Kn, there exists a pair of vertex-disjoint monochromatic cycles of opposite colours covering the vertices of Kn. In this paper we make use of an alternative method of finding useful structure in a graph, leading to a proof of the same result with a much smaller value of n0. The proof gives a polynomial-time algorithm for finding the two cycles.

Item Type: | Article |
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Official URL: | http://journals.cambridge.org/action/displayJourna... |

Additional Information: | © 2008 Cambridge University Press |

Library of Congress subject classification: | Q Science > QA Mathematics |

Sets: | Departments > Mathematics |

Date Deposited: | 28 May 2012 14:58 |

URL: | http://eprints.lse.ac.uk/44102/ |

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