Odd vertex equitable even labeling of graphs

P. Jeyanthi, A. Maheswari, M. Vijayalakshmi

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.


Palabras clave


Mean labeling; odd mean labeling; k-equitable labeling; vertex equitable labeling; odd vertex equitable even labeling; odd vertex equitable even graph.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172017000100001

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