Geodesic
Decomposition of multigraphs
Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 2, pp. 225-232.

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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
Keywords: edge decomposition, multigraph 
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Kouider, Mekkia; Mahéo, Maryvonne; Bryś, Krzysztof; Lonc, Zbigniew. Decomposition of multigraphs. Discussiones Mathematicae. Graph Theory, Tome 18 (1998) no. 2, pp. 225-232. http://geodesic.mathdoc.fr/item/DMGT_1998_18_2_a8/

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