Some results on lower bounds for topological indices

被引：9

作者：

Martinez-Perez, Alvaro ^{[1
]}

Rodriguez, Jose M. ^{[2
]}

机构：

[1] Fac CC Sociales Talavera, Avda Real Fabrica Seda S-N, Toledo 45600, Spain

[2] Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2019年 / 57卷 / 05期

关键词：

Wiener index; Generalized Wiener index; Harmonic index; General sum-connectivity index; Geometric-arithmetic index; GEOMETRIC-ARITHMETIC INDEX; HYPER-WIENER INDEX; CONNECTIVITY INDEX; HARMONIC INDEX; NUMBER; GRAPHS;

D O I：

10.1007/s10910-018-00999-7

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The aim of this paper is to obtain new inequalities involving some topological indices of a graph and characterize graphs extremal with respect to them. Our main results provide lower bounds on several indices involving just the minimum and the maximum degree of the graph G. This family of indices includes, among others, the Wiener index and several of its generalizations, the harmonic index and the general sum-connectivity index, and the geometric-arithmetic index. We also include some chemical applications of our results and some open problems.

引用

页码：1472 / 1495

页数：24

共 50 条

[41] On topological indices of a carbon nanotube network
Baca, Martin
Horvathova, Jarmila
Mokrisova, Martina
Semanicova-Fenovcikova, Andrea
Suhanyiova, Alzbeta
CANADIAN JOURNAL OF CHEMISTRY, 2015, 93 (10) : 1157 - 1160
[42] On Topological Indices of Certain Dendrimer Structures
Aslam, Adnan
Bashir, Yasir
Ahmad, Safyan
Gao, Wei
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (06): : 559 - 566
[43] New method for computing some topological indices
Ebrahimi, Mahmood
Alaeiyan, Mehdi
Journal of Computational and Theoretical Nanoscience, 2015, 12 (10) : 3527 - 3530
[44] WIENER POLYNOMIAL AND SOME TOPOLOGICAL INDICES OF A GRAPH
Seibert, Jaroslav
Trojovsky, Pavel
APLIMAT 2007 - 6TH INTERNATIONAL CONFERENCE, PT II, 2007, : 115 - 121
[45] Five results on maximizing topological indices in graphs
Cambie, Stijn
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2021, 23 (03)
[46] On the Structural Properties and Some Topological Indices of Young-Fibonacci Graphs
Zaman, Iqra
Bhatti, F. M.
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (12): : 723 - 737
[47] Computation of Topological Indices of Some Special Graphs
Abdelgader, Mohammed Salaheldeen
Wang, Chunxiang
Mohammed, Sarra Abdalrhman
MATHEMATICS, 2018, 6 (03)
[48] COMPUTING SOME TOPOLOGICAL INDICES OF TRIANGULAR BENZENOID
Ghorbani, Modjtaba
Ghazi, Mahsa
DIGEST JOURNAL OF NANOMATERIALS AND BIOSTRUCTURES, 2010, 5 (04) : 1107 - 1111
[49] Some Vertex-Degree-Based Topological Indices of Graph Operations
Zhang, Shumin
Ye, Chengfu
ARS COMBINATORIA, 2019, 142 : 207 - 219
[50] Strict lower bounds on the multiplicative Zagreb indices of graph operations
Nezhad, F. Falahati
Iranmanesh, A.
Tehranian, A.
Azari, M.
ARS COMBINATORIA, 2014, 117 : 399 - 409

← 1 2 3 4 5 →