Bounds for some distance-based and degree-distance-based topological indices

被引：0

作者：

Kizilirmak, Gul Ozkan ^{[1
]}

机构：

[1] Gazi Univ, Fac Sci, Dept Math, Ankara, Turkiye

来源：

CONTRIBUTIONS TO MATHEMATICS | 2022年 / 6卷

关键词：

distance in graphs; topological indices; vertex degrees; WIENER INDEX;

D O I：

10.47443/cm.2022.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, lower and upper bounds for the Wiener, hyper-Wiener, and Harary indices of simple connected non-trivial graphs are derived. Inequalities involving some degree-distance-based and distance-based topological indices are also obtained.

引用

页码：45 / 49

页数：5

共 23 条

[1]

Chen SB, 2010, MATCH-COMMUN MATH CO, V64, P767

[2] On the degree distance of a graph [J].

Dankelmann, P. ;

Gutman, I. ;

Mukwembi, S. ;

Swart, H. C. .

DISCRETE APPLIED MATHEMATICS, 2009, 157 (13) :2773-2777

[3] DEGREE DISTANCE OF A GRAPH - A DEGREE ANALOG OF THE WIENER INDEX [J].

DOBRYNIN, AA ;

KOCHETOVA, AA .

JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 1994, 34 (05) :1082-1086

[4] Wiener index of trees: Theory and applications [J].

Dobrynin, AA ;

Entringer, R ;

Gutman, I .

ACTA APPLICANDAE MATHEMATICAE, 2001, 66 (03) :211-249

[5]

ENTRINGER RC, 1976, CZECH MATH J, V26, P283

[6] The hyper-zagreb index for an infinite family of nanostar dendrimer [J].

Gao W. ;

Farahani M.R. .

Journal of Discrete Mathematical Sciences and Cryptography, 2017, 20 (02) :515-523

[7]

Gutman I, 1997, INDIAN J CHEM A, V36, P128

[8]

Gutman I., 2017, Bulletin (Acadmie serbe des sciences et des arts. Classe des sciences mathmatiques et naturelles. Sciences mathmatiques), V42, P1

[9]

Gutman I., 2012, Distance in molecular graphs

[10]

GUTMAN I, 2004, B I COMBIN APPL, V40, P23

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