Forbidden subgraphs and MIN-algorithm for independence number

نویسندگان

  • Jochen Harant
  • Ingo Schiermeyer
چکیده

The well-known greedy algorithm MIN for nding a maximal independent set in a graph G is based on recursively removing the closed neighborhood of a vertex which has (in the currently existing graph) minimum degree. We give a forbidden induced subgraph condition under which algorithm MIN always results in nding a maximum independent set of G, and hence yields the exact value of the independence number of G in polynomial time.

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تاریخ انتشار 1999