{"title":"一维PEC网络直径的紧界","authors":"Cho-Chin Lin, V. Prasanna","doi":"10.1109/SPDP.1992.242722","DOIUrl":null,"url":null,"abstract":"The diameter of a packed exponential connections (PEC) network on N nodes is shown to be theta ( square root log N*2 square root /sup (2log/ /sup N)/, where log N denotes log to the base 2. The present results can be extended to the case of two-dimensional PEC networks.<<ETX>>","PeriodicalId":265469,"journal":{"name":"[1992] Proceedings of the Fourth IEEE Symposium on Parallel and Distributed Processing","volume":"49 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A tight bound on the diameter of one dimensional PEC networks\",\"authors\":\"Cho-Chin Lin, V. Prasanna\",\"doi\":\"10.1109/SPDP.1992.242722\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The diameter of a packed exponential connections (PEC) network on N nodes is shown to be theta ( square root log N*2 square root /sup (2log/ /sup N)/, where log N denotes log to the base 2. The present results can be extended to the case of two-dimensional PEC networks.<<ETX>>\",\"PeriodicalId\":265469,\"journal\":{\"name\":\"[1992] Proceedings of the Fourth IEEE Symposium on Parallel and Distributed Processing\",\"volume\":\"49 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1992] Proceedings of the Fourth IEEE Symposium on Parallel and Distributed Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SPDP.1992.242722\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings of the Fourth IEEE Symposium on Parallel and Distributed Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SPDP.1992.242722","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A tight bound on the diameter of one dimensional PEC networks
The diameter of a packed exponential connections (PEC) network on N nodes is shown to be theta ( square root log N*2 square root /sup (2log/ /sup N)/, where log N denotes log to the base 2. The present results can be extended to the case of two-dimensional PEC networks.<>