Odd harmonious labeling of some cycle related graphs
Author
Jeyanthi, P.
Philo, S.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/123610.4067/S0716-09172016000100006
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.