Conjecture on odd graceful graphs
A graph \(G=(V,E)\) with \(p\) vertices and \(q~\)edges is said to be odd graceful if there exists a mapping \(f:V\rightarrow \{0,\dots,2q-1\}\) such that if we set \(l(e):=\left| f(u)-f(v)\right| \) for an edge \(e=uv\) then \( \bigcup\limits_{e\in E}l(e)=\{1,3,\dots,2q-1\}.\)NEWLINENEWLINEThe authors show that some special classes of bipartite graphs are odd graceful.
scientific article; zbMATH DE number 6644938