• 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 Cn K2, double ladder Pn×P3, quadrilateral snake Qn and alternate triangular snake A(TSn) are edge trimagic total and super edge trimagic total.
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