J. Sebastian, J. V. Kureethara, S. Naduvath, C. Dominic
{"title":"On the Pendant Number of Some New Graph Classes","authors":"J. Sebastian, J. V. Kureethara, S. Naduvath, C. Dominic","doi":"10.37591/RRDMS.V6I1.1900","DOIUrl":"https://doi.org/10.37591/RRDMS.V6I1.1900","url":null,"abstract":"Abstract A decomposition of a graph is a collection of its edge disjoint sub-graphs such that their union is . If all the sub-graphs in the decomposition are paths, then it is a path decomposition. In this paper, we discuss the pendant number, the minimum number of end vertices of paths in a path decomposition of a graph. We also determine this parameter for some graph classes. Keywords: Decomposition, path decomposition, pendant number . MSC2010: 05C70, 05C38, 05C40 Cite this Article Jomon K. Sebastian, Joseph Varghese Kureethara, Sudev Naduvath, Charles Dominic. On the Pendant Number of Some New Graph Classes. Research & Reviews: Discrete Mathematical Structures . 2019; 6(1): 15–21p.","PeriodicalId":426140,"journal":{"name":"Research & Reviews: Discrete Mathematical Structures","volume":"282 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114434016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}