Odd harmonious labeling of some new families of graphs (Q2831660)

Let \(X\) be a graph of order \(n\) and size \(m\). An odd harmonious labelling of \(X\) is an injective function \(f(V(X))\rightarrow \{0,1,\ldots,2m-1\}\) such that the induced function \(f^\ast\), defined by \(f^\ast(uv)=f(u)+f(v)\), is a bijection to the set \(\{1,3,5,\ldots,2m-1\}\). This paper establishes that certain special collections of graphs are odd harmonious.