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An efficient parallel algorithm for the efficient domination problem on distance-hereditary graphs

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1 Author(s)
Sun-yuan Hsieh ; Dept. of Comput. Sci. & Inf. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

In the literature, there are quite a few sequential and parallel algorithms for solving problems on distance-hereditary graphs. With an n-vertex and m-edge distance-hereditary graph G, we show that the efficient domination problem on G can be solved in O(log2 n) time using O(n + m) processors on a CREW PRAM. Moreover, if a binary tree representation of G is given, the problem can be optimally solved in O(log n) time using O(n/log n) processors on an EREW PRAM.

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IEEE Transactions on Parallel and Distributed Systems  (Volume:13 ,  Issue: 9 )