Recent Advancements in Graph Theory

14Vertex Magic Total Labeling of Tensor Product of Cycles

N P Shrimali

Department of Mathematics,Gujarat University,Ahmedabad, Gujarat (INDIA)E-mail: [e-mail]

S T Trivedi

Department of Mathematics,Gujarat University,Ahmedabad, Gujarat (INDIA)E-mail: [e-mail]

A vertex magic total labeling of a graph G = (V, E) assigns to all vertices and edges of G labels from the set {1, 2, 3, …, |V| + |E|} so that the sum of the vertex label and labels of all incident edges does not depend on the vertex. In this chapter, we present a construction of vertex magic total labeling of the tensor product of C_n ⊗ C_n for odd n. The construction is based on a vertex magic total labeling of Cartesian product C_n × C_n for odd n.

14.1Introduction ...