Dr. G MARIMUTHU - Academia.edu (original) (raw)
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Papers by Dr. G MARIMUTHU
Discrete Applied Mathematics, 2012
Let G be a finite simple graph with p vertices and q edges. A vertex magic total labeling is a bi... more Let G be a finite simple graph with p vertices and q edges. A vertex magic total labeling is a bijection from V (G) ∪ E(G) to the consecutive integers 1, 2, 3,. .. , p + q with the property that for every u ∈ V (G), f (u) + v∈N(u) f (uv) = k for some constant k. Such a labeling is E-super if f (E(G)) = {1, 2, 3,. .. , q}. A graph G is called E-super vertex magic if it admits a E-super vertex magic labeling. In this paper, we study some basic properties of such labelings and we establish E-super vertex magic labeling of some families of graphs. The main focus of this paper is on the E-super vertex magicness of H m,n and on some necessary conditions for a graph to be E-super vertex magic.
Discrete Applied Mathematics, 2012
Let G be a finite simple graph with p vertices and q edges. A vertex magic total labeling is a bi... more Let G be a finite simple graph with p vertices and q edges. A vertex magic total labeling is a bijection from V (G) ∪ E(G) to the consecutive integers 1, 2, 3,. .. , p + q with the property that for every u ∈ V (G), f (u) + v∈N(u) f (uv) = k for some constant k. Such a labeling is E-super if f (E(G)) = {1, 2, 3,. .. , q}. A graph G is called E-super vertex magic if it admits a E-super vertex magic labeling. In this paper, we study some basic properties of such labelings and we establish E-super vertex magic labeling of some families of graphs. The main focus of this paper is on the E-super vertex magicness of H m,n and on some necessary conditions for a graph to be E-super vertex magic.