{"title":"平衡超立方体的可靠性分析","authors":"Ming-Chien Yang, Ming-Hour Yang","doi":"10.1109/COMCOMAP.2012.6154875","DOIUrl":null,"url":null,"abstract":"The hypercube is a popular interconnection network for multiprocessor systems. The balanced hypercube, denoted by BHn, is a variant of the hypercube network. The balanced hypercube reserves some properties of the hypercube and enhances some other properties of it as well. For a multiprocessor system, the reliability of an interconnection network is a major concern. It is well-known that connectivity is a important measure for the reliability of an interconnection network. In this paper, we study a refined reliability measure, called super connectivity, of the balanced hypercube. We show that the super connectivity of BHn is 4n - 4 for n ≥ 2. That is, at least 4n - 4 vertices need to be removed from BHn to get a disconnected graph which contains no isolated vertex.","PeriodicalId":281865,"journal":{"name":"2012 Computing, Communications and Applications Conference","volume":"1225 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Reliability analysis of balanced hypercubes\",\"authors\":\"Ming-Chien Yang, Ming-Hour Yang\",\"doi\":\"10.1109/COMCOMAP.2012.6154875\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The hypercube is a popular interconnection network for multiprocessor systems. The balanced hypercube, denoted by BHn, is a variant of the hypercube network. The balanced hypercube reserves some properties of the hypercube and enhances some other properties of it as well. For a multiprocessor system, the reliability of an interconnection network is a major concern. It is well-known that connectivity is a important measure for the reliability of an interconnection network. In this paper, we study a refined reliability measure, called super connectivity, of the balanced hypercube. We show that the super connectivity of BHn is 4n - 4 for n ≥ 2. That is, at least 4n - 4 vertices need to be removed from BHn to get a disconnected graph which contains no isolated vertex.\",\"PeriodicalId\":281865,\"journal\":{\"name\":\"2012 Computing, Communications and Applications Conference\",\"volume\":\"1225 \",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-02-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Computing, Communications and Applications Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/COMCOMAP.2012.6154875\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Computing, Communications and Applications Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/COMCOMAP.2012.6154875","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The hypercube is a popular interconnection network for multiprocessor systems. The balanced hypercube, denoted by BHn, is a variant of the hypercube network. The balanced hypercube reserves some properties of the hypercube and enhances some other properties of it as well. For a multiprocessor system, the reliability of an interconnection network is a major concern. It is well-known that connectivity is a important measure for the reliability of an interconnection network. In this paper, we study a refined reliability measure, called super connectivity, of the balanced hypercube. We show that the super connectivity of BHn is 4n - 4 for n ≥ 2. That is, at least 4n - 4 vertices need to be removed from BHn to get a disconnected graph which contains no isolated vertex.
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