{"title":"在故障超立方体上广播","authors":"P. Sui, Sheng-de Wang, Isaac Yi-Yuan Lee","doi":"10.1109/ICPADS.1994.590062","DOIUrl":null,"url":null,"abstract":"In this paper we propose a method for constructing the maximum number of edge-disjoint spanning trees (in the directed sense) on a hypercube with arbitrary one faulty node. Each spanning tree is of optimal height. By taking the common neighbor of the roots of these edge-disjoint spanning trees as the new root and reversing the direction of the directed link from each root to the new root, a spanning graph, consisting of n-1 edge-disjoint spanning trees of optimal height is formed. Broadcasting based on the spanning graph has an optimal bandwidth utilization and an optimal latency.","PeriodicalId":154429,"journal":{"name":"Proceedings of 1994 International Conference on Parallel and Distributed Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Broadcasting on faulty hypercubes\",\"authors\":\"P. Sui, Sheng-de Wang, Isaac Yi-Yuan Lee\",\"doi\":\"10.1109/ICPADS.1994.590062\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we propose a method for constructing the maximum number of edge-disjoint spanning trees (in the directed sense) on a hypercube with arbitrary one faulty node. Each spanning tree is of optimal height. By taking the common neighbor of the roots of these edge-disjoint spanning trees as the new root and reversing the direction of the directed link from each root to the new root, a spanning graph, consisting of n-1 edge-disjoint spanning trees of optimal height is formed. Broadcasting based on the spanning graph has an optimal bandwidth utilization and an optimal latency.\",\"PeriodicalId\":154429,\"journal\":{\"name\":\"Proceedings of 1994 International Conference on Parallel and Distributed Systems\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-12-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1994 International Conference on Parallel and Distributed Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICPADS.1994.590062\",\"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 1994 International Conference on Parallel and Distributed Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICPADS.1994.590062","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we propose a method for constructing the maximum number of edge-disjoint spanning trees (in the directed sense) on a hypercube with arbitrary one faulty node. Each spanning tree is of optimal height. By taking the common neighbor of the roots of these edge-disjoint spanning trees as the new root and reversing the direction of the directed link from each root to the new root, a spanning graph, consisting of n-1 edge-disjoint spanning trees of optimal height is formed. Broadcasting based on the spanning graph has an optimal bandwidth utilization and an optimal latency.