文章基本信息
- 标题:Vertex Equitable Labeling of Cyclic Snakes and Bistar Graphs
- 本地全文:下载
- 作者:P. Jeyanthi ; A. Maheswari
- 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:6
- 期号:1
- 页码:79-85
- 语种:English
- 出版社:Rajshahi University
- 摘要:Normal 0 false false false EN-US X-NONE X-NONE Let G be a graph with p vertices and q edges and let A = {0, 1, 2,..., }. A vertex labeling f : V ( G ) ® A induces an edge labeling f * defined by f * ( uv ) = f ( u ) + f ( v ) for all edges uv . For , let v f ( a ) be the number of vertices v with f(v) = a . A graph G is said to be vertex equitable if there exists a vertex labeling f such that for all a and b in A , and the induced edge labels are 1, 2, 3,…, q . In this paper, we establish vertex equitable labeling of square graph of and splitting graph of and kC 4 –snake( k ≥1) and the generalized k C n –snake is vertex equitable if n º 0(mod4), n ≥4. Keywords : Vertex equitable labeling; Vertex equitable graph. © 2014 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. doi: http://dx.doi.org/10.3329/jsr.v6i1.15044 J. Sci. Res. 6 (1), 79-85 (2014)
- 关键词:Vertex equitable labeling;Vertex equitable graph.