Weighted stability number of graphs and weighted satisfiability: The two facets of pseudo-Boolean optimization

نویسندگان

  • Dominique de Werra
  • Peter L. Hammer
چکیده

We exhibit links between pseudo-Boolean optimization, graph theory and logic. We show the equivalence of maximizing a pseudo-Boolean function and finding a maximum weight stable set; symmetrically minimizing a pseudo-Boolean function is shown to be equivalent to solving a weighted satisfiability problem.

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عنوان ژورنال:
  • Annals OR

دوره 149  شماره 

صفحات  -

تاریخ انتشار 2007