On minimal cutsets in P5-free minimal imperfect graphs

نویسندگان

  • Vincent Barré
  • Jean-Luc Fouquet
چکیده

Let G be a minimal imperfect P 5-free graph (i.e. a minimal imperfect graph not containing a path on 5 vertices as induced subgraph) and let S be a minimal cutset of G. In this paper we study several properties of such cutsets, in particular we prove that the subgraph induced by S is connected, contains a P 4 , cannot induce a bipartite subgraph of G .... As a by-product we also give a structural characterization of such graphs.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 236  شماره 

صفحات  -

تاریخ انتشار 2001