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In this paper, we introduce the notions of mshadow graphs and nsplitting graphs,m ³ 2, n ³ 1. We
prove that, the mshadow graphs for paths, complete bipartite graphs and symmetric product between
paths and null graphs are odd graceful. In addition, we show that, the msplitting graphs for paths, stars
and symmetric product between paths and null graphs are odd graceful. Finally, we present some examples
to illustrate the proposed theories.
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