Allen, Peter ORCID: 0000-0001-6555-3501
(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 |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 28 May 2012 14:58 |
Last Modified: | 06 Aug 2024 05:03 |
URI: | http://eprints.lse.ac.uk/id/eprint/44102 |
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