On Edge Irregular Total Labeling of Categorical Product of Two Cycles


An edge irregular total k-labeling φ:V(G)∪E(G)→{1,2,…,k} of a graph G=(V,E) is a labeling of vertices and edges of G in such a way that for any different edges xy and x′y′ their weights φ(x)+φ(xy)+φ(y) and φ(x′)+φ(x′y′)+φ(y′) are distinct. The total edge irregularity strength, tes(G), is defined as the minimum k for which G has an edge irregular total k… (More)
DOI: 10.1007/s00224-013-9470-3