文章基本信息

标题：Further Results on Odd Harmonious Graphs
本地全文：下载
作者：M. E. Abdel-Aal ; M. A. Seoud
期刊名称：International Journal on Applications of Graph Theory in Wireless ad hoc Networks and Sensor Networks
印刷版ISSN：0975-7260
电子版ISSN：0975-7031
出版年度：2016
卷号：8
期号：3/4
页码：1
DOI：10.5121/jgraphoc.2016.8401
出版社：Academy & Industry Research Collaboration Center (AIRCC)
摘要：In [1] Abdel-Aal has introduced the notions of m-shadow graphs and n-splitting graphs, for all m, n ³ 1. In this paper, we prove that, the m-shadow graphs for paths and complete bipartite graphs are odd harmonious graphs for allm³ 1. Also, we prove the n-splitting graphs for paths, stars and symmetric product between paths and null graphs are odd harmonious graphs for all n³ 1. In addition, we present some examples to illustrate the proposed theories. Moreover, we show that some families of graphs admit odd harmonious libeling.
关键词：Odd harmonious labeling; m-shadow graph; m-splitting graph