# 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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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.