Fixed Parameter Set Splitting , Obtaining a Linear Kernel and Improving Running Time

نویسندگان

  • Daniel Lokshtanov
  • Christian Sloper
چکیده

We study the problem k-SET SPLITTING from a Fixed Parameter point of view. We give a linear kernel of 2k elements and 2k sets and improve on the current best running time for the problem, giving a O∗(4k) algorithm. This is done by reducing the problem to a bipartite graph problem where we use crown decomposition to reduce the graph. We show that this result also gives a good kernel for Max Cut.

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تاریخ انتشار 2004