SOME PROPERTIES OF TOTALLY ANTI-MAGIC GRAPHS
Hamid Kulosman · Advances in Mathematics Scientific Journal · 2025
We call an undirected graph with $n$ edges \textit{totally anti-magic} if in every labelling of edges by the numbers $1,2,\dots, n$ all nonzero vertex sums are distinct. We study totally anti-magic disjoint unions of stars and adding whiskers to any graph to achieve a totally anti-magic graph.