# Odd vertex equitable even labeling of graphs

• P. Jeyanthi Govindammal Aditanar College for Women.
• A. Maheswari Kamaraj College of Engineering and Technology.
• M. Vijayalakshmi Dr. G. U. Pope College of Engineering.
Palabras clave: Mean labeling, odd mean labeling, k-equitable labeling, vertex equitable labeling, odd vertex equitable even labeling, odd vertex equitable even graph

### Resumen

In this paper, we introduce a new labeling called odd vertex equitable even labeling. Let G be a graph with p vertices and q edges and A = {1, 3,..., q} if q is odd or A = {1, 3,..., q + 1} if q is even. A graph G is said to admit an odd vertex equitable even labeling if there exists a vertex labeling f : V(G) → A that induces an edge labeling f * defined by f * (uv) = f (u) + f (v) for all edges uv such thatfor all a and b in A, |vf (a) —vf (b)| ≤ 1 and the induced edge labels are 2, 4,..., 2q where vf (a) be the number of vertices v with f (v) = a for a ∈ A. A graph that admits odd vertex equitable even labeling is called odd vertex equitable even graph. We investigate the odd vertex equitable even behavior of some standard graphs.

### Biografía del autor

P. Jeyanthi, Govindammal Aditanar College for Women.
Research Centre, Department of Mathematics.
A. Maheswari, Kamaraj College of Engineering and Technology.
Department of Mathematics.
M. Vijayalakshmi, Dr. G. U. Pope College of Engineering.
Department of Mathematics.

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