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Decomposition of multigraphs

Mekkia Kouider;  Maryvonne Mahéo;  Krzysztof Bryś;  Zbigniew Lonc — 1998

Discussiones Mathematicae Graph Theory

In this note, we consider the problem of existence of an edge-decomposition of a multigraph into isomorphic copies of 2-edge paths K 1 , 2 . We find necessary and sufficient conditions for such a decomposition of a multigraph H to exist when (i) either H does not have incident multiple edges or (ii) multiplicities of the edges in H are not greater than two. In particular, we answer a problem stated by Z. Skupień.

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