National Tsing Hua University Institutional Repository:EFFICIENT PARALLEL ALGORITHMS FOR FINDING MAXIMAL CLIQUES, CLIQUE TREES, AND MINIMUM COLORING ON CHORDAL GRAPHS
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    National Tsing Hua University Institutional Repository > 歷任校長 > 李家同 (1993-1994) > 期刊論文  >  EFFICIENT PARALLEL ALGORITHMS FOR FINDING MAXIMAL CLIQUES, CLIQUE TREES, AND MINIMUM COLORING ON CHORDAL GRAPHS


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    題名: EFFICIENT PARALLEL ALGORITHMS FOR FINDING MAXIMAL CLIQUES, CLIQUE TREES, AND MINIMUM COLORING ON CHORDAL GRAPHS
    作者: Ho, C. W.;Lee, R. C. T.
    教師: 李家同
    日期: 1988
    出版者: Elsevier
    關聯: INFORMATION PROCESSING LETTERS, Elsevier, Volume 28, Issue 6, AUG 29 1988, Pages 301-309
    關鍵詞: Chordal graph
    parallel processing
    graph separator
    analysis of algorithms
    computational complexity
    摘要: Naor et al. (1987) proposed parallel algorithms for several problems on chordal graphs such as computing maximal cliques, a minimum coloring, a perfect elimination scheme and so on. They first solved the problem of computing maximal cliques in O(log2n) time with O(n5+ϵ) processors and, using this result, they solved all the other problems. In this paper we propose another parallel algorithm for maximal cliques which can be executed in O(log2n) time by using only O(n3) processors. This results reduces the processor bound from O(n5+ϵ) to O(n3) for all the problems solved by Naor et al. Based upon this result we propose another two algorithms for computing a clique tree and minimum coloring which are more efficient than those proposed by Naor et al.
    相關連結: http://www.elsevier.com/wps/find/homepage.cws_home
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/80821
    顯示於類別:[李家同 (1993-1994)] 期刊論文
    [資訊工程學系] 期刊論文

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