{"title":"增强超立方体中的不相交路径","authors":"Yanjuan Zhang, Hongmei Liu","doi":"10.1109/ISME.2010.82","DOIUrl":null,"url":null,"abstract":"This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n, k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n+1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}. This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n,k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n + 1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}.","PeriodicalId":348878,"journal":{"name":"2010 International Conference of Information Science and Management Engineering","volume":"113 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Disjoint Paths in Enhanced Hypercube\",\"authors\":\"Yanjuan Zhang, Hongmei Liu\",\"doi\":\"10.1109/ISME.2010.82\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n, k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n+1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}. This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n,k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n + 1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}.\",\"PeriodicalId\":348878,\"journal\":{\"name\":\"2010 International Conference of Information Science and Management Engineering\",\"volume\":\"113 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-08-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference of Information Science and Management Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISME.2010.82\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference of Information Science and Management Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISME.2010.82","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n, k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n+1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}. This paper aims to investigate the internally disjoint paths in Q_{n,2}. For this purpose, the structural natures of Q_{n,k}(1 ≤ k ≤ n) are investigated in detail. The properties related to the partition of enhanced hypercube Q_{n,k}. Based on the results, it has been found that for any two distinct vertices x and y there exists n + 1 internally disjoint paths connecting x and y, which traverses all vertices of Q_{n,2}.
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