• SUPER EDGE TRIMAGIC TOTAL LABELING OF GRAPHS

Abstract

An edge magic total labeling of a (p, q) graph is a bijection f: V(G) È E(G) ® {1, 2, …, p+q} such that for each edge uvÎE(G), the value of f(u)+f(uv)+f(v) is a constant k. If there exists two constants k₁ and k₂ such that f(u)+f(uv)+f(v) is either k₁or k₂, it is said to be an edge bimagic total labeling. An edge trimagic total labeling of a (p, q) graph is a bijection f: V(G) È E(G) ® {1, 2, …, p+q} such that for each edge uvÎE(G), the value of f(u)+f(uv)+f(v) is either k₁or k₂ or k₃. In this paper, we prove that the corona graph C_n K₂, double ladder P_n×P_3, quadrilateral snake Q_n and alternate triangular snake A(TS_n) are edge trimagic total and super edge trimagic total.