Some graceful graphs
Journal: International Journal of Mathematics and Soft Computing (Vol.4, No. 2)Publication Date: 2014.07.13
Authors : V. J Kaneria; H. M Makadia; Meera Meghapara;
Page : 165-172
Keywords : Cycle; path; path union; graceful graph; cycle with twin chords;
Abstract
In this paper, we have investigate some general classes of connected graceful graphs. We prove that cycles $C_{n}, C_{m}$ joined by an arbitrary path $P_{k}$, where $m,n equiv 0$ (mod $4$), a cycle $C_{n}$, ($n equiv 2$ (mod $4$)) with twin chords and a path union of cycles $C_{n}$, ($n equiv 0$ (mod $4$)) are graceful graphs.
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