On Odd Graceful Graphs

Abstract

We determine all connected odd graceful graphs of order \(\leq 6\). We show that if \(G\) is an odd graceful graph, then \(G \cup K_{m,n}\) is odd graceful for all \(m, n \geq 1\). We give an analogous statement to the graceful graphs statement, and we show that some families of graphs are odd graceful.