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- Title
Super face d-antimagic labeling for disjoint union of toroidal fullerenes.
- Authors
Imran, Shahid; Hussain, Muhammad; Siddiqui, Muhammad; Numan, Muhammad
- Abstract
The discovery of the fullerene molecules and related forms of carbon such as nanotubes has generated an explosion of activity in chemistry, physics, and materials science. Classical fullerene is an all-carbon molecule in which the atoms are arranged on a pseudospherical framework made up entirely of pentagons and hexagons. A toroidal fullerene (toroidal polyhex) is a cubic bipartite graph embedded on the torus such that each face is a hexagon. In this paper we examine the existence of entire labeling, where face-weights of all 6-sided faces of disjoint union of toroidal fullerenes form an arithmetic progression with common difference $$\hbox {d}\in \{1,2,3\}$$ .
- Subjects
TOROIDAL harmonics; FULLERENES; CARBON nanotubes; PSEUDOSPHERICAL surfaces; BIPARTITE graphs; ARITHMETIC series
- Publication
Journal of Mathematical Chemistry, 2017, Vol 55, Issue 3, p849
- ISSN
0259-9791
- Publication type
Article
- DOI
10.1007/s10910-016-0713-9