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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