{"title":"论置换图的最短路径问题","authors":"O. Ibarra, Q. Zheng","doi":"10.1109/IPPS.1993.262881","DOIUrl":null,"url":null,"abstract":"The authors show that the single-source shortest path problem for permutation graphs can be solved in O(logn) time using O(n/logn) processors on an EREW PRAM. As an application, they show that a minimum connected dominating set of a permutation graph can be found in O(logn) time using O(n/logn) processors. The algorithms are optimal with respect to the time-processor product.<<ETX>>","PeriodicalId":248927,"journal":{"name":"[1993] Proceedings Seventh International Parallel Processing Symposium","volume":"212 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On the shortest path problem for permutation graphs\",\"authors\":\"O. Ibarra, Q. Zheng\",\"doi\":\"10.1109/IPPS.1993.262881\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors show that the single-source shortest path problem for permutation graphs can be solved in O(logn) time using O(n/logn) processors on an EREW PRAM. As an application, they show that a minimum connected dominating set of a permutation graph can be found in O(logn) time using O(n/logn) processors. The algorithms are optimal with respect to the time-processor product.<<ETX>>\",\"PeriodicalId\":248927,\"journal\":{\"name\":\"[1993] Proceedings Seventh International Parallel Processing Symposium\",\"volume\":\"212 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1993] Proceedings Seventh International Parallel Processing Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IPPS.1993.262881\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1993] Proceedings Seventh International Parallel Processing Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IPPS.1993.262881","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the shortest path problem for permutation graphs
The authors show that the single-source shortest path problem for permutation graphs can be solved in O(logn) time using O(n/logn) processors on an EREW PRAM. As an application, they show that a minimum connected dominating set of a permutation graph can be found in O(logn) time using O(n/logn) processors. The algorithms are optimal with respect to the time-processor product.<>