{"title":"Gray codes for torus and edge disjoint Hamiltonian cycles","authors":"M. M. Bae, B. Bose","doi":"10.1109/IPDPS.2000.846007","DOIUrl":null,"url":null,"abstract":"Lee distance Gray codes for k-ary n-cubes and torus networks are presented. Using these Lee distance Gray codes, it is further shown how to directly generate edge disjoint Hamiltonian cycles for a class of k-ary n-cubes, 2-D tori, and hypercubes.","PeriodicalId":206541,"journal":{"name":"Proceedings 14th International Parallel and Distributed Processing Symposium. IPDPS 2000","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 14th International Parallel and Distributed Processing Symposium. IPDPS 2000","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IPDPS.2000.846007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
Lee distance Gray codes for k-ary n-cubes and torus networks are presented. Using these Lee distance Gray codes, it is further shown how to directly generate edge disjoint Hamiltonian cycles for a class of k-ary n-cubes, 2-D tori, and hypercubes.