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    National Tsing Hua University Institutional Repository > 歷任校長 > 李家同 (1993-1994) > 期刊論文  >  COUNTING CLIQUE TREES AND COMPUTING PERFECT ELIMINATION SCHEMES IN PARALLEL


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/80822


    Title: COUNTING CLIQUE TREES AND COMPUTING PERFECT ELIMINATION SCHEMES IN PARALLEL
    Authors: Ho, C. W.;Lee, R. C. T.
    教師: 李家同
    Date: 1989
    Publisher: Elsevier
    Relation: INFORMATION PROCESSING LETTERS, Elsevier, Volume 31, Issue 2, APR 26 1989, Pages 61-68
    Keywords: chordal graphs
    Parallel processing
    cliquetrees
    CREW PRAM
    CRCW PRAM
    Abstract: In a previous result, the authors showed that a clique tree of a chordal graph can be constructed in O(log n) parallel computing time with O(n3) processors on CRCW PRAM, where n is the number of nodes of the graph. In this paper, it will be shown that this result can be extended in two ways. First, we show that from the parallelcliquetree constructing algorithm, we can derive an exact formula of countingcliquetrees of a labeled connected chordal graph. Next, we show that a perfecteliminationscheme of a chordal graph can be computed in O(log n) time with O(n2) processors on CREW PRAM once a cliquetree of the graph is given. This implies that a perfecteliminationscheme of a chordal graph can be computed in O(log n) time with O(n3) processors on CRCW PRAM.
    Relation Link: http://www.elsevier.com/wps/find/homepage.cws_home
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/80822
    Appears in Collections:[李家同 (1993-1994)] 期刊論文
    [資訊工程學系] 期刊論文

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