Distance based indices in nanotubical graphs: part 2

被引:3
作者
Andova, Vesna [1 ]
Knor, Martin [2 ]
Skrekovski, Riste [3 ,4 ]
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, Slovenia
[4] Univ Ljubljana, FMF, Ljubljana, Slovenia
关键词
Nanotubical graphs; Open nanotube; Distance; Topological indices; Molecular descriptor; Fullerene; Balaban index; Sum-Balaban index; Harary index; SUM-BALABAN INDEX; TOPOLOGICAL INDEXES; DESIGN;
D O I
10.1007/s10910-018-0933-2
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, and then possibly closing the tube with caps. In this paper we show that the asymptotics for Balaban, Sum-Balaban, and Harary indices for all nanotubical graphs of type (k, l) on n vertices are 9 pi(k+ l)/2n, 9 root 2/2 root k + l. log(1+ root 2) and (k+ l) n log (n), respectively. In all the cases, the leading term depends on the circumference of the nanotubical graph, but not on its specific type. Thus, we conclude that these distance based topological indices seem not to be the most suitable for distinguishing nanotubes with the same circumference as far as the leading term is concerned.
引用
收藏
页码:3076 / 3088
页数:13
相关论文
共 20 条
[1]   Distance based indices in nanotubical graphs: part 1 [J].
Andova, Vesna ;
Knor, Martin ;
Skrekovski, Riste .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2018, 56 (09) :2801-2815
[2]   Distances on nanotubical structures [J].
Andova, Vesna ;
Knor, Martin ;
Skrekovski, Riste .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2016, 54 (08) :1575-1584
[3]  
Andova V, 2015, MATCH-COMMUN MATH CO, V73, P529
[4]  
Aouchiche M., 2013, INT J CHEM MODEL, V5, P189
[5]  
Balaban A. T., 2002, TOPOLOGY CHEM DISCRE, P89
[6]   HIGHLY DISCRIMINATING DISTANCE-BASED TOPOLOGICAL INDEX [J].
BALABAN, AT .
CHEMICAL PHYSICS LETTERS, 1982, 89 (05) :399-404
[7]   TOPOLOGICAL INDEXES BASED ON TOPOLOGICAL DISTANCES IN MOLECULAR GRAPHS [J].
BALABAN, AT .
PURE AND APPLIED CHEMISTRY, 1983, 55 (02) :199-206
[8]  
BALABAN AT, 1985, MATH CHEM, V17, P121
[9]  
Deng HY, 2011, MATCH-COMMUN MATH CO, V66, P273
[10]  
Devillers J., 1999, Topological Indices and Related Descriptors in QSAR and QSPR