V-SUPER AND E-SUPER VERTEX-MAGIC TOTAL LABELING OF GRAPHS
Journal Title: International Journal of Applied Mathematics & Statistical Sciences - Year 2018, Vol 7, Issue 4
Abstract
Let G be a graph of order p and size q. A vertex-magic total labeling is an assignment of the integers 1, 2, . . . , p + q to the vertices and the edges of G, so that at each vertex, the vertex label and the labels on the edges incident at that vertex, add to a fixed constant, called the magic constant of G. Such a labeling is V-super vertex-magic total if f(V(G) = {1, 2, . . . , p}, and is an E-super vertex-magic total if f(E(G) = {1, 2, . . . , q}. A graph that admits a V-super vertex-magic total labeling is called V-super vertex-magic total. Similarly, a graph that admits an E-super vertex-magic total labeling is called E-super vertex-magic total. In this paper, we provide some properties of E-super vertex-magic total labeling of graphs and we prove V-super and E-super vertex-magic total labeling of the product of cycles Cm x Cn, where m, n ≥3 and m, n odd.
Authors and Affiliations
Kumar G.
Keywords
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