Kőnig’s edge-colouring theorem for all graphs
Nguyen, Viet Hung; Cornaz, Denis (2013), Kőnig’s edge-colouring theorem for all graphs, Operations Research Letters, 41, 6, p. 592-596. http://dx.doi.org/10.1016/j.orl.2013.08.005
TypeArticle accepté pour publication ou publié
Journal nameOperations Research Letters
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Abstract (EN)We show that the maximum degree of a graph G is equal to the minimum number of ocm sets covering G, where an ocm set is the vertex-disjoint union of elementary odd cycles and one matching, and a collection of ocm sets covers G if every edge is in the matching of an ocm set or in some odd cycle of at least two ocm sets.
Subjects / KeywordsTDI system; Substar polytope; Kőnig’s edge-colouring theorem
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