Opuscula Math. 24, no. 1 (2004), 97-102

Opuscula Mathematica

Edge decompositions of multigraphs into multi-2-paths

Jan Kratochvil
Zbigniew Lonc
Mariusz Meszka
Zdzisław Skupień

Abstract. We establish the computational time complexity of the existence problem of a decomposition of an instance multigraph into isomorphic 3-vertex paths with multiple edges. If the two edge multiplicities are distinct, the problem is NPC; if mutually equal then polynomial.

Keywords: edge decomposition, multigraph, multipath, path, time complexity.

Mathematics Subject Classification: 05C38, 05C85.

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Cite this article as:
Jan Kratochvil, Zbigniew Lonc, Mariusz Meszka, Zdzisław Skupień, Edge decompositions of multigraphs into multi-2-paths, Opuscula Math. 24, no. 1 (2004), 97-102

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