ODD GRACEFUL LABELING ON EXTENDED SUNFLOWER GRAPH

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Abstract

In 1991, Gnanajothi [3] introduced a labeling method called odd graceful labeling. A graph G with q edges is said to be odd graceful if there is an injection f from 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). In this paper,we prove the odd gracefulness on extended sun flower graph.

Keywords and Phrases

Odd graceful labeling, Cycle, Dutch Windmill graph, Revised sun flower graph, extended sun flower graph

A.M.S. subject classification

05C78.

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