Discrete Mathematics and Combinatorics Commons^™

New Results On Subtractive Magic Graphs, Matthew J. Ko, Jason Pinto, Aaron Davis

Rose-Hulman Undergraduate Mathematics Journal

For any edge xy in a directed graph, the subtractive edge-weight is the sum of the label of xy and the label of y minus the label of x. Similarly, for any vertex z in a directed graph, the subtractive vertex-weight of z is the sum of the label of z and all edges directed into z and all the labels of edges that are directed away from z. A subtractive magic graph has every subtractive edge and vertex weight equal to some constant k. In this paper, we will discuss variations of subtractive magic labelings on …