An Optimal Parallel Algorithm for Constructing a Spanning Forest on Trapezoid Graphs
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概要
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Given a simple graph G with n vertices, m edges and k connected components. The spanning forest problem is to find a spanning tree for each connected component of G. This problem has applications to the electrical power demand problem, computer network design, circuit analysis, etc. An optimal parallel algorithm for finding a spanning tree on the trapezoid graph is given by Bera et al., it takes O(logn) time with O(n/logn) processors on the EREW (Exclusive-Read Exclusive-Write) PRAM. Bera et al.s algorithm is very simple and elegant. Moreover, it can correctly construct a spanning tree when the graph is connected. However, their algorithm can not accept a disconnected graph as an input. Applying their algorithm to a disconnected graph, Concurrent-Write occurs once for each connected component, thus this can not be achieved on EREW PRAM. In this paper we present an O(logn) time parallel algorithm with O(n/logn) processors for constructing a spanning forest on trapezoid graph G on EREW PRAM even if G is a disconnected graph.
- 2008-09-01
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 Hirotoshi
Department Of Information Engineering Kushiro National College Of Technology
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