Geodesic
On normal partitions in cubic graphs
Discussiones Mathematicae. Graph Theory, Tome 29 (2009) no. 2, pp. 293-312

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A normal partition of the edges of a cubic graph is a partition into trails (no repeated edge) such that each vertex is the end vertex of exactly one trail of the partition. We investigate this notion and give some results and problems.
Keywords: cubic graph, edge-partition 
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Fouquet, Jean-Luc; Vanherpe, Jean-Marie. On normal partitions in cubic graphs. Discussiones Mathematicae. Graph Theory, Tome 29 (2009) no. 2, pp. 293-312. http://geodesic.mathdoc.fr/item/DMGT_2009_29_2_a6/