Odd Harmonious Labeling of Some Classes of Graphs

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Odd Harmonious Labeling of Some Classes of Graphs

Abstract 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...

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Detalles Bibliográficos
Autores principales:	Jeyanthi,P., Philo,S.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	harmonious labeling odd harmonious labeling transformed tree sub-divided grid graph regular bamboo tree.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300299
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

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Sumario:	Abstract 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 T p - tree, T ô P m , T ô 2 P m , regular bamboo tree, C n ô P m , C n ô 2P m and subdivided grid graphs are odd harmonious.