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    Title      l  Rank-width and Tree-width of H-minor-free Graphs
    Author   l  Fedor V. Fomin, Sang-il Oum, Dimitrios M. Thilikos
    Date   l  2009-09-21
    Category   l  ASARC-Preprint-09-28
    Download    l 1253493058_0.224076.pdf  
Abstract: We prove that for any xed 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 renements of our bounds for other
graph classes such as Kr-minor free graphs and graphs of bounded genus.

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