# Odd hole recognition in graphs of bounded clique size

Conforti, M, Cornuejols, G, Liu, X, Vuskovic, K and Zambelli, G (2006) Odd hole recognition in graphs of bounded clique size. SIAM Journal on Discrete Mathematics, 20 (1). 42 - 48 (7). ISSN 0895-4801

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## Abstract

In a graph G, an odd hole is an induced odd cycle of length at least 5. A clique of G is a set of pairwise adjacent vertices. In this paper we consider the class ${\cal C}_k$ of graphs whose cliques have a size bounded by a constant k. Given a graph G in ${\cal C}_k$, we show how to recognize in polynomial time whether G contains an odd hole.

Item Type: Article © 2006, Society for Industrial & Applied Mathematics. This is an author produced version of a paper published in SIAM Journal on Discrete Mathematics. Uploaded in accordance with the publisher's self-archiving policy. The University of Leeds The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds) Symplectic Publications 18 Jun 2012 15:14 02 Jul 2014 06:29 http://dx.doi.org/10.1137/S089548010444540X Published Society for Industrial and Applied Mathematics 10.1137/S089548010444540X http://eprints.whiterose.ac.uk/id/eprint/74354