A polynomial-time algorithm for the maximum cardinality cut problem in proper interval graphs


Boyacı A., EKİM T., Shalom M.

Information Processing Letters, cilt.121, ss.29-33, 2017 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 121
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.ipl.2017.01.007
  • Dergi Adı: Information Processing Letters
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.29-33
  • Anahtar Kelimeler: Graph algorithms, Maximum cut, Proper interval graph
  • Boğaziçi Üniversitesi Adresli: Evet

Özet

It is known that the maximum cardinality cut problem is NP-hard even in chordal graphs. On the positive side, the problem is known to be polynomial time solvable in some subclasses of proper interval graphs which is in turn a subclass of chordal graphs. In this paper, we consider the time complexity of the problem in proper interval graphs, and propose a polynomial-time dynamic programming algorithm.