Odd Vertex equitable even labeling of cyclic snake related graphs.

Resumen

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 that for 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 an odd vertex equitable even labeling is called an odd vertex equitable even graph. Here, we prove that the graph nC4-snake, CS(n1, n2, ..., nk), ni ≡ 0(mod4),ni ≥ 4, be a generalized kCn -snake, TÔQSn and TÕQSn are odd vertex equitable even 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.

Citas

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Publicado
2018-11-22
Cómo citar
Jeyanthi, P., & Maheswari, A. (2018). Odd Vertex equitable even labeling of cyclic snake related graphs. Proyecciones. Revista De Matemática, 37(4), 613-625. Recuperado a partir de http://www.revistaproyecciones.cl/article/view/3271
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