A Time-Optimal Solution for the Path Cover Problem on Cographs

نویسندگان

  • Koji Nakano
  • Stephan Olariu
  • Albert Y. Zomaya
چکیده

We show that the notoriously difficult problem of finding and reporting the smallest number of vertex-disjoint paths that cover the vertices of a graph can be solved timeand work-optimally for cographs. Our algorithm solves this problem in O(log n) time using n log n processors on the EREW-PRAM for an n-vertex cograph G represented by its cotree.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 290  شماره 

صفحات  -

تاریخ انتشار 1999