{"title":"Cyclic near-Hamiltonian cycle decomposition of 2-fold complete graph","authors":"Raja'i Aldiabat, H. Ibrahim, S. Karim","doi":"10.1063/1.5121042","DOIUrl":null,"url":null,"abstract":"In this paper, we formulate the existence of cyclic near-Hamiltonian cycle decomposition of 2Kv, for each odd v > 3. Moreover, a graphical representation for constructing a base cycle for such cyclic near-Hamiltonian cycle decomposition is presented. Then, some examples of this construction for the cases v = 9 and v = 15 are discussed in detail.","PeriodicalId":325925,"journal":{"name":"THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"THE 4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5121042","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we formulate the existence of cyclic near-Hamiltonian cycle decomposition of 2Kv, for each odd v > 3. Moreover, a graphical representation for constructing a base cycle for such cyclic near-Hamiltonian cycle decomposition is presented. Then, some examples of this construction for the cases v = 9 and v = 15 are discussed in detail.
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