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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 16-Dec-2008 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
dc.creator (作者) 許芳榮;沈錳坤;趙考蜀;李家同zh_TW
dc.date (日期) 2005-05en_US
dc.date.accessioned 16-Dec-2008 16:41:12 (UTC+8)-
dc.date.available 16-Dec-2008 16:41:12 (UTC+8)-
dc.date.issued (上傳時間) 16-Dec-2008 16:41:12 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/14987-
dc.description.abstract (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.en-US
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Journal of Information Science and Engineering, 21(3), 627-642en_US
dc.subject (關鍵詞) parallel algorithms,EREW PRAM,all-pair shortest path,hinge vertex,interval graphen-US
dc.title (題名) Some Optimal Parallel Algorithms on Interval and Circular-Arc Graphsen_US
dc.type (資料類型) articleen