On the Expected Values of Topological Indices in Random Phenylene Chains

被引：0

作者：

Wang, Xiaojiao ^{[1
]}

Zuo, Xuewu ^{[2
]}

Jahanbani, Akbar ^{[3
]}

Cancan, Murat ^{[4
]}

机构：

[1] Anhui Int Studies Univ, Hefei, Anhui, Peoples R China

[2] Anhui Xinhua Univ, Gen Educ Dept, Hefei, Anhui, Peoples R China

[3] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[4] Van Yuzuncu Yil Univ, Fac Educ, Van, Turkiye

来源：

POLYCYCLIC AROMATIC COMPOUNDS | 2024年 / 44卷 / 05期

关键词：

Random phenylene chains; arithmetic-geometric index; augmented Zagreb index; ATOM-BOND CONNECTIVITY; ZAGREB INDEXES; LINE GRAPHS;

D O I：

10.1080/10406638.2023.2231157

中图分类号：

O62 [有机化学];

学科分类号：

070303 ; 081704 ;

摘要：

The phenylenes exhibit unique physicochemical properties due to their aromatic and antiaromatic rings. The main object of this paper is to determine the expected values of the arithmetic-geometric and augmented Zagreb indices for random phenylene chains. The comparisons between the expected values of these indices with respect to the random phenylene chains have been determined explicitly. The graphical illustrations have been given in terms of the differences between the expected values of these indices.

引用

页码：3121 / 3132

页数：12

共 24 条

[1] Atom-bond connectivity index of graphs [J].

Das, Kinkar Ch. .

DISCRETE APPLIED MATHEMATICS, 2010, 158 (11) :1181-1188

[2] Quantitative Graph Theory: A new branch of graph theory and network science [J].

Dehmer, Matthias ;

Emmert-Streib, Frank ;

Shi, Yongtang .

INFORMATION SCIENCES, 2017, 418 :575-580

[3] The PI index of phenylenes [J].

Deng, Hanyuan ;

Chen, Shubo ;

Zhang, Jie .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2007, 41 (01) :63-69

[4] Augmented Zagreb index [J].

Furtula, Boris ;

Graovac, Ante ;

Vukicevic, Damir .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2010, 48 (02) :370-380

[5] Atom-bond connectivity index of trees [J].

Furtula, Boris ;

Graovac, Ante ;

Vukicevic, Damir .

DISCRETE APPLIED MATHEMATICS, 2009, 157 (13) :2828-2835

[6]

Gao W., 2016, Journal of Computational and Theoretical Nanoscience, V13, P6741, DOI [10.1166/jctn.2016.5622, DOI 10.1166/JCTN.2016.5622]

[7]

Gao W., 2016, J Comput Theor Nanoscience, V13, P6733, DOI [10.1166/jctn.2016.5621, DOI 10.1166/JCTN.2016.5621]

[8] On the edge-version atom-bond connectivity and geometric arithmetic indices of certain graph operations [J].

Gao, Wei ;

Farahani, Mohammad Reza ;

Wang, Shaohui ;

Husin, Mohamad Nazri .

APPLIED MATHEMATICS AND COMPUTATION, 2017, 308 :11-17

[9]

Gutman I, 2004, MATCH-COMMUN MATH CO, P83

[10] On the Difference of Atom-Bond Connectivity Index and Randic Index with Some Topological Indices [J].

Hasni, Roslan ;

Husin, Mohamad Nazri ;

Movahedi, Fateme ;

Gobithaasan, Rudrusamy ;

Akhbari, Mohammad Hadi .

IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2022, 13 (01) :19-32

← 1 2 3 →