Distances on nanotubical structures

被引：6

作者：

Andova, Vesna ^{[1
]}

Knor, Martin ^{[2
]}

Skrekovski, Riste ^{[3
,4
,5
]}

机构：

[1] Ss Cyril & Methodius Univ, Fac Elect Engn & Informat Technol, Ruger Boskovik 18, Skopje 1000, Macedonia

[2] Slovak Univ Technol Bratislava, Dept Math, Fac Civil Engn, Bratislava, Slovakia

[3] Fac Informat Studies, Novo Mesto, Slovakia

[4] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia

[5] Univ Primorska, FAMNIT, Koper, Slovenia

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2016年 / 54卷 / 08期

关键词：

Nanotubical graphs; Distance; Topological indices; Fullerene;

D O I：

10.1007/s10910-016-0637-4

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Nanotubical graphs are obtained by wrapping a hexagonal grid into a cylinder, and then possibly closing the tube with patches. In this paper we determine the number of vertices at distance d from a particular vertex in an open (k, l) nanotubical graph. Surprisingly, this number does not depend much on the type of the nanotubical structure, but mainely on its circumference. In particular, for it is for an infinite open nanotube. This result can be used as a tool for precise evaluation of distance based topological indices for nanotubical structures. The presented results imply an interesting conclusion that these indices do not distinguish the type of the nanotubes very well.

引用

页码：1575 / 1584

页数：10

共 18 条

[1] Mathematical aspects of fullerenes [J].