{"title":"Routing permutations with link-disjoint and node-disjoint paths in a class of self-routable networks","authors":"Yuanyuan Yang, Jianchao Wang","doi":"10.1109/ICPP.2002.1040879","DOIUrl":null,"url":null,"abstract":"High-speed interconnects have been gaining much attention from the computer industry recently as interconnects are becoming a limiting factor to the performance of modern computer systems. This trend will even continue in the near future as technology improves. In this paper, we consider efficiently routing permutations in a class of switch-based interconnects. Permutation is an important communication pattern in parallel and distributed computing systems. We present a generic approach to realizing arbitrary permutations in a class of unique-path, self-routable multistage networks. We consider routing arbitrary permutations with link-disjoint paths and node-disjoint paths in such interconnects in a minimum number of passes. In particular, routing with node-disjoint paths has important applications in the emerging optical interconnects. We employ and further expand the Latin square technique used in the all-to-all personalized exchange algorithms for this class of multistage networks for general permutation routing. The implementation is optimal in number of passes and near-optimal in network transmission time.","PeriodicalId":393916,"journal":{"name":"Proceedings International Conference on Parallel Processing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2002-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings International Conference on Parallel Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPP.2002.1040879","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
High-speed interconnects have been gaining much attention from the computer industry recently as interconnects are becoming a limiting factor to the performance of modern computer systems. This trend will even continue in the near future as technology improves. In this paper, we consider efficiently routing permutations in a class of switch-based interconnects. Permutation is an important communication pattern in parallel and distributed computing systems. We present a generic approach to realizing arbitrary permutations in a class of unique-path, self-routable multistage networks. We consider routing arbitrary permutations with link-disjoint paths and node-disjoint paths in such interconnects in a minimum number of passes. In particular, routing with node-disjoint paths has important applications in the emerging optical interconnects. We employ and further expand the Latin square technique used in the all-to-all personalized exchange algorithms for this class of multistage networks for general permutation routing. The implementation is optimal in number of passes and near-optimal in network transmission time.