文章基本信息

标题：On Skolem odd and even difference mean graphs
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作者：Gee-Choon Lau ; Gee-Choon Lau ; P. Jeyanthi 等
期刊名称：Journal of King Saud University - Science
印刷版ISSN：1018-3647
出版年度：2018
卷号：30
期号：2
页码：286-291
DOI：10.1016/j.jksus.2017.09.018
语种：English
出版社：Elsevier
摘要：AbstractLetG=(V,E)be a simple, finite and undirected(p,q)-graph withpvertices andqedges. A graphGis Skolem odd difference mean if there exists an injectionf:V(G)→{0,1,2,…,p+3q-3}and an induced bijectionf∗:E(G)→{1,3,5,…,2q-1}such that each edgeuv(withf(u)>f(v)) is labeled withf∗(uv)=f(u)-f(v)2. We sayGis Skolem even difference mean if there exists an injectionf:V(G)→{0,1,2,…,p+3q-1}and an induced bijectionf∗:E(G)→{2,4,6,…,2q}such that each edgeuv(withf(u)>f(v)) is labeled withf∗(uv)=f(u)-f(v)2. A graph that admits a Skolem odd (or even) difference mean labeling is called a Skolem odd (or even) difference mean graph. In this paper, first, we construct some new Skolem odd difference mean graphs and then investigate the Skolem even difference meanness of some standard graphs.
关键词：Mean labeling;Odd mean labeling;Skolem difference mean labeling;Skolem odd difference mean labeling;Skolem even difference mean labeling