Fast dynamic programming for locally checkable vertex subset and vertex partitioning problems

نویسندگان

  • Binh-Minh Bui-Xuan
  • Jan Arne Telle
  • Martin Vatshelle
چکیده

Given a graph G we provide dynamic programming algorithms for many locally checkable vertex subset and vertex partitioning problems. Their runtime is polynomial in the number of equivalence classes of problem-specific equivalence relations on subsets of vertices, defined on a given decomposition tree of G. Using these algorithms all these problems become solvable in polynomial time for many well-known graph classes like interval graphs and permutation graphs (Belmonte and Vatshelle [1]). Given a decomposition of boolean-width k we show that the algorithms will have runtime O(n2 2)), providing the first large class of problems solvable in fixed-parameter singleexponential time in boolean-width.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 511  شماره 

صفحات  -

تاریخ انتشار 2013