文章基本信息
- 标题:Edge Pair Sum Labeling
- 其他标题:Edge Pair Sum Labeling
- 本地全文:下载
- 作者:P. Jeyanthi ; T. Saratha Devi
- 期刊名称:Journal of Scientific Research
- 印刷版ISSN:2070-0237
- 电子版ISSN:2070-0245
- 出版年度:2013
- 卷号:5
- 期号:3
- 页码:457-467
- DOI:10.3329/jsr.v5i3.15001
- 语种:English
- 出版社:Rajshahi University
- 摘要:An injective map f : E(G) ? {±1, ±2, ,±q } is said to be an edge pair sum labeling of a graph G(p, q) if the induced vertex function f*:V(G) ? Z ( defined by f*(?) = ?e?E? f(e) is one-one, where denotes the set of edges in G that are incident with a vertex v and f*(V(G)) is either of the form {±k1, ±k2, , ±kp/2} or {±k1, ±k2, , ±k(p-1)/2}U{kp/2}according as p is even or odd. A graph with an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that path Pn, cycle Cn, triangular snake, PmUK1,n, Cn?Kmc are edge pair sum graphs. Keywords: Pair sum graph, edge pair sum labeling, edge pair sum graph.© 2013 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi: http://dx.doi.org/10.3329/jsr.v5i3.15001 J. Sci. Res. 5 (3), 457-467 (2013)
- 关键词:Mathematics;Pair sum graph; Edge pair sum labeling; Edge pair sum graph.