Trees with maximum multiplicative connectivity indices

被引：0

作者：

Azari, Mahdieh ^{[1
]}

Dehgardi, Nasrin ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Kazerun Branch, POB 73135-168, Kazerun, Iran

[2] Sirjan Univ Technol, Dept Math & Comp Sci, Sirjan, Iran

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2024年 / 27卷 / 07期

关键词：

Vertex-degree-based topological indices; Maximum degree; Extremal problem; Tree; HARMONIC INDEX; MOLECULAR-ORBITALS; GRAPH-THEORY; SUM; BOUNDS;

D O I：

10.47974/JIM-1862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The product-connectivity (also called Randi & cacute; connectivity) index, sum-connectivity index and harmonic index are among the best-known and most successful vertex-degreebased topological indices in mathematical chemistry. The multiplicative versions of these graph invariants were proposed by Kulli in 2016. In this paper, we give the maximum values of the multiplicative product-connectivity, multiplicative sum-connectivity and multiplicative harmonic indices within the set of trees with a given order and maximum vertex degree and specify the maximal trees.

引用

页码：1517 / 1529

页数：13

共 50 条

[21] On Trees with Given Independence Numbers with Maximum Gourava Indices
Wang, Ying
Aslam, Adnan
Idrees, Nazeran
Kanwal, Salma
Iram, Nabeela
Razzaque, Asima
SYMMETRY-BASEL, 2023, 15 (02):
[22] A Unified Approach to Extremal Multiplicative Zagreb Indices for Trees, Unicyclic and Bicyclic Graphs
Xu, Kexiang
Hua, Hongbo
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2012, 68 (01) : 241 - 256
[23] General multiplicative Zagreb indices of trees and unicyclic graphs with given matching number
Tomáš Vetrík
Selvaraj Balachandran
Journal of Combinatorial Optimization, 2020, 40 : 953 - 973
[24] Extremal trees of the eccentric connectivity index
Wang, Hua
ARS COMBINATORIA, 2015, 122 : 55 - 64
[25] GENERAL SUM-CONNECTIVITY INDEX OF TREES AND UNICYCLIC GRAPHS WITH FIXED MAXIMUM DEGREE
Jamil, Muhammad Kamran
Tomescu, Ioan
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2019, 20 (01): : 11 - 17
[26] On the maximum general sum-connectivity index of trees with a fixed order and maximum degree
Ahmed, Shahzad
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2021, 13 (04)
[27] Connection-Based Multiplicative Zagreb Indices of Dendrimer Nanostars
Sattar, Aqsa
Javaid, Muhammad
Bonyah, Ebenezer
JOURNAL OF MATHEMATICS, 2021, 2021
[28] General sum-connectivity index and general Randic index of trees with given maximum degree
Swartz, Elize
Vetrik, Tomas
DISCRETE MATHEMATICS LETTERS, 2023, 12 : 181 - 188
[29] Lower Bounds on the Entire Zagreb Indices of Trees
Luo, Liang
Dehgardi, Nasrin
Fahad, Asfand
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
[30] On the Maximum Atom-Bond Sum-Connectivity Index of Trees
Hu, Yarong
Wang, Fangxia
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2024, 91 (03) : 709 - 723

← 1 2 3 4 5 →