Path and cycle factors of cubic bipartite graphs

نویسندگان

  • Mikio Kano
  • Changwoo Lee
  • Kazuhiro Suzuki
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