Odd cyclic surface separators in planar graphs

نویسندگان

  • Petr A. Golovach
  • Marcin Kaminski
  • Dimitrios M. Thilikos
چکیده

Given a plane graph G and two vertices s and t in G, an s-t surface separator is a closed curve C such that s belongs to the other region of R \C than t. A cycle C is called a cyclic surface separator if C is an s-t surface separator, and an odd cyclic surface separator if C is an odd cycle. We consider the problem of finding odd cyclic surface separators in planar graphs and show that the problem can be solved in polynomial time.

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تاریخ انتشار 2011