Super face d-antimagic labeling for disjoint union of toroidal fullerenes

详细信息    查看全文

• 作者：Shahid Imran ; Muhammad Hussain…
• 关键词：Disjoint union ; Toroidal fullerene ; Toroidal polyhex ; Super d ; antimagic labeling
• 刊名：Journal of Mathematical Chemistry
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：55
• 期：3
• 页码：849-863
• 全文大小：
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Physical Chemistry; Theoretical and Computational Chemistry; Math. Applications in Chemistry;
• 出版者：Springer International Publishing
• ISSN：1572-8897
• 卷排序：55

文摘

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 \(\hbox {d}\in \{1,2,3\}\).