Correcting a paper on the Randić and geometric-arithmetic indices

Toufik Mansour; Mohammad Ali Rostami; Suresh Elumalai; Britto Antony Xavier

doi:10.3906/mat-1510-115

Correcting a paper on the Randić and geometric-arithmetic indices

Toufik Mansour, Mohammad Ali Rostami, Suresh Elumalai, Britto Antony Xavier

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The Randić 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 Randić 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 Randić and GA indices. In the same paper, we provide the equality cases for Theorems 3, 5, and 6.

Original language	English
Pages (from-to)	27-32
Number of pages	6
Journal	Turkish Journal of Mathematics
Volume	41
Issue number	1
DOIs	https://doi.org/10.3906/mat-1510-115
State	Published - 2017

Bibliographical note

Publisher Copyright:
© Tübitak.

Keywords

Geometric-arithmetic index
Randić index
Zagreb index

ASJC Scopus subject areas

General Mathematics

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10.3906/mat-1510-115

Cite this

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title = "Correcting a paper on the Randi{\'c} and geometric-arithmetic indices",

abstract = "The Randi{\'c} 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 Randi{\'c} 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 Randi{\'c} and GA indices. In the same paper, we provide the equality cases for Theorems 3, 5, and 6.",

keywords = "Geometric-arithmetic index, Randi{\'c} index, Zagreb index",

author = "Toufik Mansour and Rostami, {Mohammad Ali} and Suresh Elumalai and Xavier, {Britto Antony}",

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language = "English",

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T1 - Correcting a paper on the Randić and geometric-arithmetic indices

AU - Mansour, Toufik

AU - Rostami, Mohammad Ali

AU - Elumalai, Suresh

AU - Xavier, Britto Antony

N1 - Publisher Copyright: © Tübitak.

PY - 2017

Y1 - 2017

N2 - The Randić 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 Randić 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 Randić and GA indices. In the same paper, we provide the equality cases for Theorems 3, 5, and 6.

AB - The Randić 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 Randić 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 Randić and GA indices. In the same paper, we provide the equality cases for Theorems 3, 5, and 6.

KW - Geometric-arithmetic index

KW - Randić index

KW - Zagreb index

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VL - 41

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EP - 32

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 1

ER -

Correcting a paper on the Randić and geometric-arithmetic indices

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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