期刊名称:AKCE International Journal of Graphs and Combinatorics
印刷版ISSN:0972-8600
出版年度:2019
卷号:16
期号:1
页码:78-82
DOI:10.1016/j.akcej.2018.02.003
语种:English
出版社:Elsevier
摘要:AbstractIn 1992, Bagga, Beineke, and Varma introduced the concept of the super line graph of indexrof a graphG,denoted byℒr(G).The vertices ofℒr(G)are ther-subsets ofE(G),and two verticesSandTare adjacent if there exists∈Sandt∈Tsuch thatsandtare adjacent edges inG.They also defined the line completion numberlc(G)of graph G to be the minimum indexrfor whichℒr(G)is complete. They found the line completion number for certain classes of graphs. In this paper, we find the line completion number of hypercubeQnfor everyn.
关键词:KeywordsSuper line graphLine completion numberInduced subgraphHypercube