New Classes of Odd Graceful Graphs
نویسندگان
چکیده
منابع مشابه
New Families of Odd Graceful Graphs
In this work some new odd graceful graphs are investigated. We prove that the graph obtained by fusing all the n vertices of Cn of even order with the apex vertices of n copies of K1,m admits odd graceful labeling. In addition to this we show that the shadow graphs of path Pn and star K1,n are odd graceful graphs.
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Let G = (V, E) be a finite, simple and undirected graph. A graph G with q edges is said to be odd-graceful if there is an injection f : V (G) → {0, 1, 2, . . . , 2q− 1} such that, when each edge xy is assigned the label |f (x)− f (y)| , the resulting edge labels are {1, 3, 5, . . . , 2q− 1} and f is called an odd graceful labeling of G. Motivated by the work of Z. Gao [6] in which he studied th...
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ژورنال
عنوان ژورنال: International Journal on Applications of Graph Theory In wireless Ad Hoc Networks And sensor Networks
سال: 2013
ISSN: 0975-7260,0975-7031
DOI: 10.5121/jgraphoc.2013.5201