@Article{Kratochvil2004, author = "Kratochvil, Jan and Lonc, Zbigniew and Meszka, Mariusz and Skupień, Zdzisław", title = "Edge decompositions of multigraphs into multi-2-paths", journal = "Opuscula Math.", year = "2004", volume = "24", number = "1", pages = "97--102", doi = "http://dx.doi.org/10.7494/OpMath.2004.24.1.97", url = "http://dx.doi.org/10.7494/OpMath.2004.24.1.97", 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", issn = "1232-9274" }