TY - JOUR AU - Jeyanthi, P. AU - Philo, S. AU - Youssef, Maged Z. PY - 2019/08/06 Y2 - 2024/03/29 TI - Odd harmonious labeling of grid graphs JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 38 IS - 3 SE - DO - 10.22199/issn.0717-6279-2019-03-0027 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3696 SP - 411-428 AB - 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. ER -