Bi-induced sub graphs and stability number

Authors

  • I.E. Zverovich RUTCOR - Rutgers Center for Operations Research, Rutgers University, Piscataway, New Jersey, USA
  • O.I. Zverovich RUTCOR - Rutgers Center for Operations Research, Rutgers University, Piscataway, New Jersey, USA

DOI:

https://doi.org/10.2298/YJOR0401027Z

Keywords:

stability number, hereditary class, bi-hereditary class, forbidden induced sub graphs, forbidden bi-induced sub graphs

Abstract

We define a 2-parametric hierarchy CLAP (m, n) of bi-hereditary classes of graphs, and show that a maximum stable set can be found in polynomial time within each class CLAP (m, n). The classes can be recognized in polynomial time.

References

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Published

2004-03-01

Issue

Section

Research Articles