Opuscula Math. 29, no. 4 (2009), 345-364
http://dx.doi.org/10.7494/OpMath.2009.29.4.345

 
Opuscula Mathematica

Cyclability in bipartite graphs

Denise Amar
Evelyne Flandrin
Grzegorz Gancarzewicz

Abstract. Let \(G=(X,Y,E)\) be a balanced \(2\)-connected bipartite graph and \(S \subset V(G)\). We will say that \(S\) is cyclable in \(G\) if all vertices of \(S\) belong to a common cycle in \(G\). We give sufficient degree conditions in a balanced bipartite graph \(G\) and a subset \(S \subset V(G)\) for the cyclability of the set \(S\).

Keywords: graphs, cycles, bipartite graphs.

Mathematics Subject Classification: 05C20, 05C35, 05C38, 05C45.

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Cite this article as:
Denise Amar, Evelyne Flandrin, Grzegorz Gancarzewicz, Cyclability in bipartite graphs, Opuscula Math. 29, no. 4 (2009), 345-364, http://dx.doi.org/10.7494/OpMath.2009.29.4.345

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