13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing
A Time-Optimal Solution for the Path Cover Problem on Cographs
San Juan, Puerto Rico
April 12-April 16
ISBN: 0-7695-0143-5
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 time-and 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.
Citation:
K. Nakano, S. Olariu, A.Y. Zomaya, "A Time-Optimal Solution for the Path Cover Problem on Cographs," ipps, pp.26, 13th International Parallel Processing Symposium and 10th Symposium on Parallel and Distributed Processing, 1999