Basic perfect graphs and their extensions

نویسندگان

  • Igor E. Zverovich
  • Vadim E. Zverovich
چکیده

In this article, we present a characterization of basic graphs in terms of forbidden induced subgraphs. This class of graphs was introduced by Conforti, Cornuéjols and Vušković [3], and it plays an essential role in the announced proof of the Strong Perfect Graph Conjecture by Chudnovsky, Robertson, Seymour and Thomas [2]. Then we apply the Reducing Pseudopath Method [13] to characterize the substitutional closure of the class of basic graphs in terms of forbidden induced subgraphs.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 293  شماره 

صفحات  -

تاریخ انتشار 2005