Extremal phenylene chains with respect to the Mostar index

被引：8

作者：

Chen, Hanlin ^{[1
]}

Liu, Hechao ^{[2
]}

Xiao, Qiqi ^{[3
]}

Zhang, Jinlian ^{[4
]}

机构：

[1] Changsha Univ, Coll Comp Engn & Appl Math, Changsha 410022, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

[3] Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Peoples R China

[4] Hunan Univ, Dept Math, Changsha 410082, Peoples R China

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2021年 / 13卷 / 06期

关键词：

Mostar index; phenylene chain; extremal value; BENZENOID SYSTEMS; HEXAGONAL CHAINS; WIENER INDEX; NUMBERS;

D O I：

10.1142/S1793830921500750

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a connected graph G, the Mostar index is defined as Mo(G) = Sigma(xy is an element of E(G)) vertical bar n(x) - n(y)vertical bar, where n(x) (respectively, n(y)) is the number of vertices of G closer to x (respectively, y) than y (respectively, x). In this paper, we determine the first five maximal (respectively, the first five minimal) values of the Mostar index among all phenylene chains with h hexagons, the corresponding extremal chains are completely characterized, respectively.

引用

页数：27

共 23 条

[1]

Chen AL, 2009, MATCH-COMMUN MATH CO, V61, P623

[2] Tutte polynomials of alternating polycyclic chains [J].

Chen, Hanlin ;

Guo, Qiuzhi .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 57 (10) :2248-2260

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

Deng, Hanyuan ;

Chen, Shubo ;

Zhang, Jie .

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

[4] A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes [J].

Deng, Hanyuan ;

Yang, Jianguang ;

Xia, Fangli .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (10) :3017-3023

[5] On the extremal values for the Mostar index of trees with given degree sequence [J].

Deng, Kecai ;

Li, Shuchao .

APPLIED MATHEMATICS AND COMPUTATION, 2021, 390

[6] Extremal catacondensed benzenoids with respect to the Mostar index [J].

Deng, Kecai ;

Li, Shuchao .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2020, 58 (07) :1437-1465

[7] Photophysical properties of [N]phenylenes [J].

Dosche, C ;

Löhmannsröben, HG ;

Bieser, A ;

Dosa, PI ;

Han, S ;

Iwamoto, M ;

Schleifenbaum, A ;

Vollhardt, KPC .

PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2002, 4 (11) :2156-2161

[8] Mostar index [J].

Doslic, Tomislav ;

Martinjak, Ivica ;

Skrekovski, Riste ;

Spuzevic, Sanja Tipuric ;

Zubac, Ivana .

JOURNAL OF MATHEMATICAL CHEMISTRY, 2018, 56 (10) :2995-3013

[9] On Mostar Index of Trees with Parameters [J].

Hayat, Fazal ;

Zhou, Bo .

FILOMAT, 2019, 33 (19) :6453-6458

[10] On Cacti with Large Mostar Index [J].

Hayat, Fazal ;

Zhou, Bo .

FILOMAT, 2019, 33 (15) :4865-4873

← 1 2 3 →