文章基本信息

标题：New Classes of Odd Graceful Graphs
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作者：M. E. Abdel-Aal
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：2013
卷号：5
期号：2
出版社：Academy & Industry Research Collaboration Center (AIRCC)
摘要：In this paper, we introduce the notions of m-shadow graphs and n-splitting graphs, 2 ≥ m , 1 ≥ n . We prove that, the m-shadow graphs for paths, complete bipartite graphs and symmetric product between paths and null graphs are odd graceful. In addition, we show that, the m-splitting graphs for paths, stars and symmetric product between paths and null graphs are odd graceful. Finally, we present some examples to illustrate the proposed theories.
关键词：Odd graceful; m-shadow graph; m-splitting graph; Symmetric product.