Graceful centers of graceful graphs and universal graceful graphs.
AbstractIn this paper we define graceful center of a graceful graph. We proved any graph G which admits α-labeling has at least four graceful centers. We also defined a new strong concept of universal graceful graph. Some results on ring sum of two graphs for their graceful labeling are proved.
A. Rosa, On certain valuation of graph, Theory of Graphs (Rome, July 1966), Goden and Breach, N. Y. and Paris, pp. 349-355, (1967).
C. Hoede and H. Kuiper, All wheels are graceful, Util. Math., 14, pp. 311, (1987).
F. Harary, Graph theory, Narosa Publishing House, New Delhi, (2001).
J. A. Gallian, The Electronics Journal of Combinatorics, 18, DS6, (2015).
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