Geodesic
Path and cycle factors of cubic bipartite graphs
Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 3, pp. 551-556

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For a set S of connected graphs, a spanning subgraph F of a graph is called an S-factor if every component of F is isomorphic to a member of S. It was recently shown that every 2-connected cubic graph has a Cₙ | n ≥ 4-factor and a Pₙ | n ≥ 6-factor, where Cₙ and Pₙ denote the cycle and the path of order n, respectively (Kawarabayashi et al., J. Graph Theory, Vol. 39 (2002) 188-193). In this paper, we show that every connected cubic bipartite graph has a Cₙ | n ≥ 6-factor, and has a Pₙ | n ≥ 8-factor if its order is at least 8.
Keywords: cycle factor, path factor, bipartite graph 
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Kano, M.; Lee, Changwoo; Suzuki, Kazuhiro. Path and cycle factors of cubic bipartite graphs. Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 3, pp. 551-556. http://geodesic.mathdoc.fr/item/DMGT_2008_28_3_a12/