Two Classes of Graceful Graphs

In this paper, we prove the gracefulness of a new class of graphs denoted by \(K_{n}\otimes S_{2^{{n-1}}-\binom{n}{2}}\).
We also prove that the graphs consisting of \(2m + 1\) internally disjoint paths of length \(2r\) each, connecting two fixed vertices, are also graceful.