{"title":"Undirected circulant graphs","authors":"F. P. Muga","doi":"10.1109/ISPAN.1994.367157","DOIUrl":null,"url":null,"abstract":"A fundamental problem in designing massively parallel computer systems and fast communication networks is the maximization of the number of nodes given a diameter and degree of a network. This maximal number is bounded above by the Moore bound. For undirected circulant graphs, an upper bound is also given but no exact formula has been found yet for degree /spl ges/6. A refinement on this upper bound is given in this paper. It is determined also that this maximal number is odd.<<ETX>>","PeriodicalId":142405,"journal":{"name":"Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPAN.1994.367157","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
A fundamental problem in designing massively parallel computer systems and fast communication networks is the maximization of the number of nodes given a diameter and degree of a network. This maximal number is bounded above by the Moore bound. For undirected circulant graphs, an upper bound is also given but no exact formula has been found yet for degree /spl ges/6. A refinement on this upper bound is given in this paper. It is determined also that this maximal number is odd.<>
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