Odd harmonious labeling of grid graphs


A graph G(p, q) is said to be odd harmonious if there exists an injection 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. In this paper we prove that path union of t copies of Pm×Pn, path union of t different copies of Pmᵢ×Pnᵢ where 1 ≤ i ≤ t, vertex union of t copies of Pm×Pn, vertex union of t different copies of Pmᵢ×Pnᵢ where 1 ≤ i ≤ t, one point union of path of Ptn (t.n.Pm×Pm), t super subdivision of grid graph Pm×Pn are odd harmonious graphs.

Biografía del autor/a

P. Jeyanthi, Govindammal Aditanar College for Women.
Department of Mathematics. Research Centre.
S. Philo, Manonmaniam Sundaranar University.
Research Scholar.
Maged Z. Youssef, Imam Mohammad Ibn Saud Islamic University.
Department of Mathematics and Statistics, College of Science.


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Cómo citar
P. Jeyanthi, S. Philo, y M. Z. Youssef, «Odd harmonious labeling of grid graphs», Proyecciones (Antofagasta, En línea), vol. 38, n.º 3, pp. 411-428, ago. 2019.

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