Degree-Kirchhoff Indices and Gutman Indices of Spiro and Polyphenyl Hexagonal Chains

被引：2

作者：

Chen, Dandan ^{[1
]}

Ma, Xiaoling ^{[1
]}

Bian, Hong ^{[2
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Xinjiang, Peoples R China

[2] Xinjiang Normal Univ, Sch Math Sci, Urumqi, Peoples R China

来源：

POLYCYCLIC AROMATIC COMPOUNDS | 2023年 / 43卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Degree-Kirchhoff index; Gutman index; resistance distance; distance; spiro hexagonal chain; polyphenyl hexagonal chain; MODIFIED SCHULTZ INDEX; NORMALIZED LAPLACIAN; DISTANCE; TREE;

D O I：

10.1080/10406638.2022.2138926

中图分类号：

O62 [有机化学];

学科分类号：

070303 ; 081704 ;

摘要：

It is well known that the spiro and the polyphenyl hexagonal chains are graphs of a class of unbranched multispiro molecules and polycyclic aromatic hydrocarbons. Let Kf*(G) be the degree-Kirchhoff index and Gut(G) be the Gutman index of a connected graph G. In this paper, we first give the formulae for calculating the Gutman indices and the degree-Kirchhoff indices of spiro and polyphenyl hexagonal chains, respectively. Then, we describe a relationship between the Gutman (resp. degree-Kirchhoff) indices of a spiro hexagonal chain and its corresponding polyphenyl hexagonal chain, and obtain the extremal values and characterize the extremal graphs with respect to the Gutman (resp. degree-Kirchhoff) indices among all spiro and polyphenyl hexagonal chains . with n hexagons, respectively. Finally, we determine the bounds for Kf*(G)/Gut(G) of spiro and polyphenyl hexagonal chains, respectively.

引用

页码：7700 / 7718

页数：19

共 27 条

[1]

Agnes VS, 2015, TRANS COMB, V4, P11

[2] Computing Exact Values for Gutman Indices of Sum Graphs under Cartesian Product [J].

Alanazi, Abdulaziz Mohammed ;

Farid, Faiz ;

Javaid, Muhammad ;

Munagi, Augustine .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021

[3] M-polynomials and degree-based topological indices of tadpole graph [J].

Chaudhry, Faryal ;

Husin, Mohamad Nazri ;

Afzal, Farkhanda ;

Afzal, Deeba ;

Cancan, Murat ;

Farahani, Mohammad Reza .

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2021, 24 (07) :2059-2072

[4] Resistance distance and the normalized Laplacian spectrum [J].

Chen, Haiyan ;

Zhang, Fuji .

DISCRETE APPLIED MATHEMATICS, 2007, 155 (05) :654-661

[5] The Modified Schultz Index of C4C8 Nanotubes [J].

Chen, Shubo ;

Xia, Fangli .

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2009, 6 (07) :1504-1510

[6] Modified Schultz Index of Zig-Zag Polyhex Nanotubes [J].

Chen, Shubo .

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2009, 6 (07) :1499-1503

[7]

Deng HY, 2014, UTILITAS MATHEMATICA, V95, P113

[8] Wiener indices of spiro and polyphenyl hexagonal chains [J].

Deng, Hanyuan .

MATHEMATICAL AND COMPUTER MODELLING, 2012, 55 (3-4) :634-644

[9]

Gao W., 2016, J COMPUT THEOR NANOS, V13, P6733, DOI [10.1166/jctn.2016.5621, DOI 10.1166/JCTN.2016.5621]

[10] SELECTED PROPERTIES OF THE SCHULTZ MOLECULAR TOPOLOGICAL INDEX [J].

GUTMAN, I .

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1994, 34 (05) :1087-1089

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