Krausz dimension and its generalizations in special graph classes

نویسندگان

  • Pavel Skums
  • Yury Metelsky
  • Olga Glebova
چکیده

In this paper we prove, that the problem ”kdim(G) ≤ 3” is polynomially solvable for chordal graphs, thus partially solving the problem of P. Hlineny and J. Kratochvil. We show, that the problem of finding m-krausz dimension is NP-hard for every m ≥ 1, even if restricted to (1,2)-colorable graphs, but the problem ”kdimm(G) ≤ k” is polynomially solvable for (∞, 1)-polar graphs for every fixed k,m ≥ 1.

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2013