{"title":"On some combinatorial properties of meshes","authors":"H. Sarbazi-Azad","doi":"10.1109/ISPAN.2004.1300468","DOIUrl":null,"url":null,"abstract":"The mesh structure has been used as the underlying topology for many practical multicomputers, and has been extensively studied in the past. In this paper, we investigate some topological properties of meshes. In particular, we study the problem of finding the number of nodes located at a given distance from a given node (surface area) and the number of nodes located within a given distance from a given node (volume), and have derived some expressions calculating these numbers.","PeriodicalId":198404,"journal":{"name":"7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"7th International Symposium on Parallel Architectures, Algorithms and Networks, 2004. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISPAN.2004.1300468","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
The mesh structure has been used as the underlying topology for many practical multicomputers, and has been extensively studied in the past. In this paper, we investigate some topological properties of meshes. In particular, we study the problem of finding the number of nodes located at a given distance from a given node (surface area) and the number of nodes located within a given distance from a given node (volume), and have derived some expressions calculating these numbers.
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