Equistable distance-hereditary graphs

Ephraim Korach, Uri N. Peled, Udi Rotics

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We show that a necessary condition for a graph to be equistable is sufficient when the graph in question is distance-hereditary. This is used to design a polynomial-time recognition algorithm for equistable distance-hereditary graphs.

Original languageEnglish
Pages (from-to)462-477
Number of pages16
JournalDiscrete Applied Mathematics
Issue number4
StatePublished - 15 Feb 2008


  • Distance-hereditary graphs
  • Equistable graphs


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