Displaying similar documents to “Note on a Lovász's result”

A Note on a Broken-Cycle Theorem for Hypergraphs

Martin Trinks (2014)

Discussiones Mathematicae Graph Theory

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Whitney’s Broken-cycle Theorem states the chromatic polynomial of a graph as a sum over special edge subsets. We give a definition of cycles in hypergraphs that preserves the statement of the theorem there

Decomposition of Complete Multigraphs Into Stars and Cycles

Fairouz Beggas, Mohammed Haddad, Hamamache Kheddouci (2015)

Discussiones Mathematicae Graph Theory

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Let k be a positive integer, Sk and Ck denote, respectively, a star and a cycle of k edges. λKn is the usual notation for the complete multigraph on n vertices and in which every edge is taken λ times. In this paper, we investigate necessary and sufficient conditions for the existence of the decomposition of λKn into edges disjoint of stars Sk’s and cycles Ck’s.