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    政大機構典藏 > 資訊學院 > 資訊科學系 > 期刊論文 >  Item 140.119/14987


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    題名: Some Optimal Parallel Algorithms on Interval and Circular-Arc Graphs
    作者: 許芳榮;沈錳坤;趙考蜀;李家同
    關鍵詞: parallel algorithms,EREW PRAM,all-pair shortest path,hinge vertex,interval graph
    日期: 2005-05
    上傳時間: 2008-12-16 16:41:12 (UTC+8)
    摘要: In this paper, we consider some shortest path related problems on interval and circular-arc graphs. For the all-pair shortest path query problem on interval and circular-arc graphs, instead of using the sophisticated technique, we propose simple parallel algorithms using only the parallel prefix and suffix computations and the Euler tour technique. Our preprocessing algorithms run in O(log n) time using O(nlog n) processors. Using the data structure constructed by our preprocessing algorithms, a query of the length of a shortest path between any two vertices can be answered in constant time by using a single processor. For the hinge vertex problem on interval graphs, we propose an O(log n) time algorithm using O(nlog n) processors. It leads to a linear time sequential algorithm. Our algorithms work on the EREW PRAM model.
    關聯: Journal of Information Science and Engineering, 21(3), 627-642
    資料類型: article
    顯示於類別:[資訊科學系] 期刊論文

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