Õ(n 3/2)轮中精确加权全对最短路径的确定性分布算法

U. Agarwal, V. Ramachandran, Valerie King, Matteo Pontecorvi
{"title":"Õ(n 3/2)轮中精确加权全对最短路径的确定性分布算法","authors":"U. Agarwal, V. Ramachandran, Valerie King, Matteo Pontecorvi","doi":"10.1145/3212734.3212773","DOIUrl":null,"url":null,"abstract":"We present a deterministic distributed algorithm to compute all-pairs shortest paths (APSP) in an edge-weighted directed or undirected graph. Our algorithm runs in Õ (n^3/2 ) rounds in the Congest model, where n is the number of nodes in the graph. This is the first o(n^2) rounds deterministic distributed algorithm for the weighted APSP problem. Our algorithm is fairly simple and incorporates a deterministic distributed algorithm we develop for computing a 'blocker set' [King99], which has been used earlier in sequential dynamic computation of APSP.","PeriodicalId":198284,"journal":{"name":"Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"38","resultStr":"{\"title\":\"A Deterministic Distributed Algorithm for Exact Weighted All-Pairs Shortest Paths in Õ(n 3/2 ) Rounds\",\"authors\":\"U. Agarwal, V. Ramachandran, Valerie King, Matteo Pontecorvi\",\"doi\":\"10.1145/3212734.3212773\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a deterministic distributed algorithm to compute all-pairs shortest paths (APSP) in an edge-weighted directed or undirected graph. Our algorithm runs in Õ (n^3/2 ) rounds in the Congest model, where n is the number of nodes in the graph. This is the first o(n^2) rounds deterministic distributed algorithm for the weighted APSP problem. Our algorithm is fairly simple and incorporates a deterministic distributed algorithm we develop for computing a 'blocker set' [King99], which has been used earlier in sequential dynamic computation of APSP.\",\"PeriodicalId\":198284,\"journal\":{\"name\":\"Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"38\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3212734.3212773\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2018 ACM Symposium on Principles of Distributed Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3212734.3212773","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 38

摘要

提出了一种计算边加权有向图或无向图中全对最短路径的确定性分布式算法。我们的算法在最拥挤模型中运行Õ (n^3/2)轮,其中n是图中的节点数。这是加权APSP问题的第一个0 (n^2)轮确定性分布式算法。我们的算法相当简单,并结合了我们开发的用于计算“阻塞集”的确定性分布式算法[King99],该算法已在早期的APSP顺序动态计算中使用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Deterministic Distributed Algorithm for Exact Weighted All-Pairs Shortest Paths in Õ(n 3/2 ) Rounds
We present a deterministic distributed algorithm to compute all-pairs shortest paths (APSP) in an edge-weighted directed or undirected graph. Our algorithm runs in Õ (n^3/2 ) rounds in the Congest model, where n is the number of nodes in the graph. This is the first o(n^2) rounds deterministic distributed algorithm for the weighted APSP problem. Our algorithm is fairly simple and incorporates a deterministic distributed algorithm we develop for computing a 'blocker set' [King99], which has been used earlier in sequential dynamic computation of APSP.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信