0333 - 3590 Improved Algorithms for the Feedback Vertex Set Problems

نویسندگان

  • Jianer Chen
  • Fedor V. Fomin
  • Yang Liu
  • Songjian Lu
  • Yngve Villanger
چکیده

We present improved parameterized algorithms for the Feedback Vertex Set problem on both unweighted and weighted graphs. Both algorithms run in time O(5kn). For unweighted graphs, our algorithm either constructs a feedback vertex set of size bounded by k in a given graph G, or reports that no such a feedback vertex set exists in G. For weighted graphs, our algorithm either constructs a minimum-weight feedback vertex set of size bounded by k in a given graph G, or reports that no feedback vertex set of size bounded by k exists in G.

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تاریخ انتشار 2007