Path and cycle factors of cubic bipartite graphs
نویسندگان
چکیده
For a set S of connected graphs, a spanning subgraph F of a graph is called an Sfactor 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.
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عنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 28 شماره
صفحات -
تاریخ انتشار 2008