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：210-211
DOI：10.1016/S0972-8600(16)30114-1
语种：English
出版社：Elsevier
摘要：Let G = (V, E) be a finite, simple and undirected graph. The edge-magic total or vertex-magic total labeling of G is a bijectionf from V(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.
