期刊名称：AKCE International Journal of Graphs and Combinatorics
印刷版ISSN：0972-8600
出版年度：2016
卷号：13
期号：2
页码：191-199
DOI：10.1016/j.akcej.2016.06.001
语种：English
出版社：Elsevier
摘要：AbstractLetG=(V,E)be a finite, simple and undirected graph. The edge-magic total or vertex-magic total labeling ofGis a bijectionffromV(G)∪E(G)onto the set of consecutive integers{1,2,…,|V(G)|+|E(G)|}, such that all the edge weights or vertex weights are equal to a constant, respectively. When all the edge weights or vertex weights are different then the labeling is called edge-antimagic or vertex-antimagic total, respectively.In this paper we provide some classes of graphs that are simultaneously super edge-magic total and super vertex-antimagic total, that is, graphs admitting labeling that has both properties at the same time. We show several results for fans, sun graphs, caterpillars and prisms.
关键词：KeywordsenSuper edge-magic total labelingSuper vertex-antimagic total labelingTotal labeling
