Rank-width is less than or equal to branch-width

نویسنده

  • Sang-il Oum
چکیده

We prove that the rank-width of the incidence graph of a graph G is either equal to or exactly one less than the branch-width of G, unless the maximum degree of G is 0 or 1. This implies that rank-width of a graph is less than or equal to branch-width of the graph unless the branch-width is 0. Moreover, this inequality is tight.

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 57  شماره 

صفحات  -

تاریخ انتشار 2008