Total Edge Irregularity Strength of Toroidal Fullerene

Martin Bača, Marcela Lascsáková, Muhammad Kamran Siddiqui

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

12 Citas (Scopus)

Resumen

A toroidal fullerene (toroidal polyhex) is a cubic bipartite graph embedded on the torus such that each face is a hexagon. An edge irregular total k-labeling of a graph G is such a labeling of the vertices and edges with labels 1, 2, k that the weights of any two different edges are distinct, where the weight of an edge is the sum of the label of the edge itself and the labels of its two endvertices. The minimum k for which the graph G has an edge irregular total k-labeling is called the total edge irregularity strength, tes(G). In this paper we determine the exact value of the total edge irregularity strength of toroidal polyhexes.

Idioma originalInglés
Páginas (desde-hasta)487-492
Número de páginas6
PublicaciónMathematics in Computer Science
Volumen7
N.º4
DOI
EstadoPublicada - dic. 2013
Publicado de forma externa

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