On topological properties of hexagonal and silicate networks

被引：14

作者：

Akhter, Shehnaz ^{[1
]}

Imran, Muhammad ^{[1
,2
]}

Farahani, Mohammad Reza ^{[3
]}

Javaid, Imran ^{[4
]}

机构：

[1] NUST, Sch Nat Sci, Dept Math, Sect H-12, Islamabad, Pakistan

[2] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates

[3] IUST, Dept Appl Math, Tehran 16844, Iran

[4] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2019年 / 48卷 / 03期

关键词：

Topological index; Zagreb index; hexagonal network; silicate network; SUBDIVISION GRAPHS; LINE GRAPH; INDEXES; POLYNOMIALS; COMPUTATION;

D O I：

10.15672/HJMS.2017.541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Topological indices are the numerical quantities associated to a simple and finite graphs which represent its structure. There are certain types of topological indices such as degree based topological indices, distance based topological indices and counting related topological indices etc. The degree based topological indices are exploited to estimate the bioactivity of chemical compounds. In this paper, we compute first general Zagreb index, general Randic connectivity index, general sum-connectivity index, atom-bond connectivity index, geometric-arithmetic index, ABC(4) index and GA(5) index of the line graphs of silicate networks, chain silicate networks and hexagonal networks by using the subdivision method.

引用

页码：711 / 723

页数：13

共 26 条

[21] Computation of Topological Indices of Graphene [J].

Sridhara, G. ;

Kanna, M. R. Rajesh ;

Indumathi, R. S. .

JOURNAL OF NANOMATERIALS, 2015, 2015

[22] Topological indices of the line graph of subdivision graphs and their Schur-bounds [J].

Su, Guifu ;

Xu, Lan .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 253 :395-401

[23] Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges [J].

Vukicevic, Damir ;

Furtula, Boris .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (04) :1369-1376

[24] STRUCTURAL DETERMINATION OF PARAFFIN BOILING POINTS [J].

WIENER, H .

JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1947, 69 (01) :17-20

[25] On general sum-connectivity index [J].

Zhou, Bo ;

Trinajstic, Nenad .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 47 (01) :210-218

[26] On a novel connectivity index [J].

Zhou, Bo ;

Trinajstic, Nenad .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2009, 46 (04) :1252-1270

← 1 2 3 →