On Edge Irregular Total Labeling of Categorical Product of Two Cycles
An edge irregular total k-labeling ?:V(G)?E(G)?{1,2,,k} of agraph G=(V,E) is alabeling of vertices and edges of G in such away that for any different edges xy and x?y? their weights ?(x)+?(xy)+?(y) and ?(x?)+?(x?y?)+?(y?) are distinct. The total edge irregularity strength, tes(G), is defined as the minimum k for which G has anedge irregular total k-labeling.
edge irregular total labeling total edge irregularity strength irregularity strength the categorical product of cycles