Labelings of type (1,1,1) for toroidal fullerenes

Authors

MARTIN BACA
MUHAMMAD NUMAN
AYESHA SHABBIR

DOI

10.3906/mat-1207-13

Abstract

In this paper we deal with the problem of labeling the vertices, edges, and faces of a toroidal fullerene H_m^n with mn hexagons by the consecutive integers from 1 up to V(H_m^n) + E(H_m^n) + F(H_m^n) in such a way that the set of face-weights of 6-sided faces forms an arithmetic progression with common difference d, where by face-weight we mean the sum of the label of that face and the labels of vertices and edges surrounding that face. The paper examines the existence of such labelings for several differences d.

Keywords

Toroidal fullerene, toroidal polyhex, super d-antimagic labeling

First Page

899

Last Page

907

Recommended Citation

BACA, MARTIN; NUMAN, MUHAMMAD; and SHABBIR, AYESHA (2013) "Labelings of type (1,1,1) for toroidal fullerenes," Turkish Journal of Mathematics: Vol. 37: No. 6, Article 1. https://doi.org/10.3906/mat-1207-13
Available at: https://journals.tubitak.gov.tr/math/vol37/iss6/1