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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

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/14987

Title:	Some Optimal Parallel Algorithms on Interval and Circular-Arc Graphs
Authors:	許芳榮;沈錳坤;趙考蜀;李家同
Keywords:	parallel algorithms,EREW PRAM,all-pair shortest path,hinge vertex,interval graph
Date:	2005-05
Issue Date:	2008-12-16 16:41:12 (UTC+8)
Abstract:	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.
Relation:	Journal of Information Science and Engineering, 21(3), 627-642
Data Type:	article
Appears in Collections:	[資訊科學系] 期刊論文

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