Fast, effective vertex cover kernelization: a tale of two algorithms

  • Authors:
  • F. N. Abu-Khzam;M. A. Langston;W. H. Suters

  • Affiliations:
  • Div. of Comput. Sci. & Math., Lebanese American Univ., Beirut, Lebanon;University of Tennessee;-

  • Venue:
  • AICCSA '05 Proceedings of the ACS/IEEE 2005 International Conference on Computer Systems and Applications
  • Year:
  • 2005

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Abstract

Summary form only given. Two kernelization methods for the vertex cover problem are investigated. The first, LP-kernelization has been in prior use and is known to produce predictable results. The second, crown reduction, is newer and faster but generates more variable results. Previously-unknown connections between these powerful methods are established. It is also shown that the problem of finding an induced crown-free subgraph in an arbitrary graph is decidable in polynomial time. Applications of crown structures are discussed.