Rank-width and tree-width of H-minor-free graphs

نویسندگان

  • Fedor V. Fomin
  • Sang-il Oum
  • Dimitrios M. Thilikos
چکیده

We prove that for any fixed r ≥ 2, the tree-width of graphs not containing Kr as a topological minor (resp. as a subgraph) is bounded by a linear (resp. polynomial) function of their rank-width. We also present refinements of our bounds for other graph classes such as Kr-minor free graphs and graphs of bounded genus.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 31  شماره 

صفحات  -

تاریخ انتشار 2010