Odd harmonious labeling of some cycle related graphs

Authors

  • P. Jeyanthi Govindammal Aditanar College for Women.
  • S. Philo PSN College of Engineering and Technology.

DOI:

https://doi.org/10.4067/S0716-09172016000100006

Keywords:

Harmonious labeling, odd harmonious labeling, odd harmonious graph, strongly odd harmonious labeling, strongly odd harmonious graph, etiquetado armonioso, etiquetado armonioso impar, grafo armonioso impar.

Abstract

A graph G(p, q) is said to be odd harmonious if there exists an in-jection f : V(G)? {0,1, 2, ..., 2q — 1} such that the induced function f * : E(G) ? {1, 3, ... 2q — 1} defined by f * (uv) = f (u) + f (v) is a bijection. A graph that admits odd harmonious labeling is called odd harmonious graph. In this paper we prove that any two even cycles sharing a common vertex and a common edge are odd harmonious graphs.

Author Biographies

P. Jeyanthi, Govindammal Aditanar College for Women.

Research Centre, Department of Mathematics.

S. Philo, PSN College of Engineering and Technology.

Department of Mathematics.

References

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Published

2017-03-23

How to Cite

[1]
P. Jeyanthi and S. Philo, “Odd harmonious labeling of some cycle related graphs”, Proyecciones (Antofagasta, On line), vol. 35, no. 1, pp. 85-98, Mar. 2017.

Issue

Section

Artículos