An Optimal Parallel Algorithm for Constructing a Spanning Tree on Circular Permutation Graphs
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概要
- 論文の詳細を見る
The spanning tree problem is to find a tree that connects all the vertices of G. This problem has many applications, such as electric power systems, computer network design and circuit analysis. Klein and Stein demonstrated that a spanning tree can be found in O(log n) time with O(n + m) processors on the CRCW PRAM. In general, it is known that more efficient parallel algorithms can be developed by restricting classes of graphs. Circular permutation graphs properly contain the set of permutation graphs as a subclass and are first introduced by Rotem and Urrutia. They provided O(n2.376) time recognition algorithm. Circular permutation graphs and their models find several applications in VLSI layout. In this paper, we propose an optimal parallel algorithm for constructing a spanning tree on circular permutation graphs. It runs in O(log n) time with O(n/ log n) processors on the EREW PRAM.
- （社）電子情報通信学会の論文
- 2009-02-01
著者
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Masuyama Shigeru
Department Of Applied Mathematics And Physics Faculty Of Engineering Kyoto University
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HONMA Hirotoshi
Department of Information Engineering, Kushiro National College of Technology
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HONMA Saki
Electronic Information System Engineering Course, Kushiro National College of Technology
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Honma Hirotoshi
Department Of Information Engineering Kushiro National College Of Technology
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Honma Saki
Electronic Information System Engineering Course Kushiro National College Of Technology
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Honma Hirotoshi
Dep. Of Information Engineering Kushiro National Coll. Of Technol.
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