Correcting a paper on the Randic and geometric-arithmetic indices

被引：13

作者：

Mansour, Toufik ^{[1
]}

Rostami, Mohammad Ali ^{[2
]}

Elumalai, Suresh ^{[3
]}

Xavier, Britto Antony ^{[4
]}

机构：

[1] Univ Haifa, Dept Math, Haifa, Israel

[2] Univ Jena, Inst Comp Sci, Jena, Germany

[3] Velammal Engn Coll, Dept Math, Chennai, Tamil Nadu, India

[4] Sacred Heart Coll, Dept Math, Tirupattur, Tamil Nadu, India

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 01期

关键词：

Randic index; geometric-arithmetic index; Zagreb index;

D O I：

10.3906/mat-1510-115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Randic index (R) and the geometric arithmetic index (GA) are found to be useful tools in QSPR and QSAR studies. In the Journal of Inequalities and Applications 180, 1-7, Lokesha, Shwetha Shetty, Ranjini, Cangul, and Cevik gave "New bounds for Randic and GA indices." In the paper, we first point out that Theorems 1, 2, and 4 are incorrect and in this short note we present the correct inequalities for Randic and GA indices. In the same paper, we provide the equality cases for Theorems 3, 5, and 6.

引用

页码：27 / 32

页数：6

共 50 条

[41] Extremal trees for the geometric-arithmetic index with the maximum degree
Divya, A.
Manimaran, A.
DISCRETE MATHEMATICS LETTERS, 2022, 9 : 38 - 43
[42] Molecular graphs with extremal first geometric-arithmetic index
Rostami, Mohammadreza
Ghorbani, Modjtaba
ARS COMBINATORIA, 2017, 135 : 235 - 242
[43] Remark on spectral study of the geometric-arithmetic index and some generalizations
Milovanovic, E. I.
Milovanovic, I. Z.
Matejic, M. M.
APPLIED MATHEMATICS AND COMPUTATION, 2018, 334 : 206 - 213
[44] Some Mathematical Properties of the Geometric-Arithmetic Index/Coindex of Graphs
Stankov, S.
Matejic, M.
Milovanovic, I
Milovanovic, E.
FILOMAT, 2021, 35 (15) : 5045 - 5057
[45] The Geometric-Arithmetic index of trees with a given total domination number
Bermudo, Sergio
Hasni, Roslan
Movahedi, Fateme
Napoles, Juan E.
DISCRETE APPLIED MATHEMATICS, 2024, 345 : 99 - 113
[46] A Note on the First Geometric-Arithmetic Index of Hexagonal Systems and Phenylenes
Yarahmadi, Zahra
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2011, 2 (02): : 101 - 108
[47] The minimum value of geometric-arithmetic index of graphs with minimum degree 2
Mahdi Sohrabi-Haghighat
Mohammadreza Rostami
Journal of Combinatorial Optimization, 2017, 34 : 218 - 232
[48] Upper bound for the geometric-arithmetic index of trees with given domination number
Bermudo, Sergio
DISCRETE MATHEMATICS, 2023, 346 (01)
[49] The maximal geometric-arithmetic energy of trees with at most two branched vertices
Shao, Yanling
Gao, Yubin
APPLIED MATHEMATICS AND COMPUTATION, 2019, 362
[50] On the extremal geometric-arithmetic graphs with fixed number of vertices having minimum degree
Milivojevic Danas, Milica
Pavlovic, Ljiljana
ANNALS OF OPERATIONS RESEARCH, 2022, 316 (02) : 1257 - 1266

← 1 2 3 4 5 →