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    National Tsing Hua University Institutional Repository > 電機資訊學院 > 資訊工程學系 > 期刊論文 >  An O(n log n+m log log n) maximum weight clique algorithm for circular-arc graphs


    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/66739


    Title: An O(n log n+m log log n) maximum weight clique algorithm for circular-arc graphs
    Authors: Shih,Wei-Kuan;Hsu,Wen-Lian
    教師: 石維寬
    Date: 1989
    Publisher: Elsevier
    Relation: INFORMATION PROCESSING LETTERS,Volume 31,Issue 3,Pages 129-134,MAY 8 1989
    Keywords: Computer Programming
    Algorithms
    Mathematical Techniques
    Graph Theory
    Abstract: Let F be a family of arcs in a circle, where each arc is associated with a weight. The maximum weight clique problem is to find a subset of pairwise overlapping arcs in F such that their total weight is maximum. This problem was originally solved by Hsu in O(m·n) time. Recently, an O(n2log log n) algorithm was discovered by A. Apostolico and S.E. Hambrusch for the unweighted case, whereas the weighted case was posed as an open problem. We extend their approach to solve the weighted case in O(n log n+m log log n) time. Our algorithm is based on a characterization of maximum weight independent sets in bipartite graphs, which is not related to bipartite matching.
    URI: http://www.elsevier.com/
    http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/66739
    Appears in Collections:[資訊工程學系] 期刊論文

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