Geodesic
On odd and semi-odd linear partitions of cubic graphs
Discussiones Mathematicae. Graph Theory, Tome 29 (2009) no. 2, pp. 275-292

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A linear forest is a graph whose connected components are chordless paths. A linear partition of a graph G is a partition of its edge set into linear forests and la(G) is the minimum number of linear forests in a linear partition.
Keywords: Cubic graph, linear arboricity, strong matching, edge-colouring 
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Fouquet, Jean-Luc; Thuillier, Henri; Vanherpe, Jean-Marie; Wojda, Adam. On odd and semi-odd linear partitions of cubic graphs. Discussiones Mathematicae. Graph Theory, Tome 29 (2009) no. 2, pp. 275-292. http://geodesic.mathdoc.fr/item/DMGT_2009_29_2_a5/