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
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
收藏
页码:27 / 32
页数:6
相关论文
共 50 条
  • [21] On the total version of geometric-arithmetic index
    Mahmiani, A.
    Khormali, O.
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 4 (01): : 21 - 26
  • [22] On ordinary generalized geometric-arithmetic index
    Eliasi, Mehdi
    Iranmanesh, Ali
    APPLIED MATHEMATICS LETTERS, 2011, 24 (04) : 582 - 587
  • [23] Inequalities Involving the Geometric-Arithmetic Index
    Carballosa, Walter
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (04) : 437 - 452
  • [24] On the first geometric-arithmetic index of graphs
    Das, Kinkar Ch.
    Gutman, I.
    Furtula, B.
    DISCRETE APPLIED MATHEMATICS, 2011, 159 (17) : 2030 - 2037
  • [25] ON THE EDGE VERSION OF GEOMETRIC-ARITHMETIC INDEX
    Mahmiani, Anehgaldi
    Khormali, Omid
    Iranmanesh, A.
    DIGEST JOURNAL OF NANOMATERIALS AND BIOSTRUCTURES, 2012, 7 (02) : 411 - 414
  • [26] GEOMETRIC-ARITHMETIC INDEX: AN ALGEBRAIC APPROACH
    Shabani, Hossein
    Ashrafi, Ali Reza
    Gutman, Ivan
    STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA, 2010, 55 (04): : 107 - 112
  • [27] Recent lower bounds for geometric-arithmetic index
    Portilla, Ana
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    DISCRETE MATHEMATICS LETTERS, 2019, 1 : 59 - 82
  • [28] COMPUTING SIXTH GEOMETRIC-ARITHMETIC INDEX OF NANOSTRUCTURES
    Mohanappriya, G.
    Vijayalakshmi, D.
    ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2019, 20 (01): : 72 - 88
  • [29] On the geometric-arithmetic index by decompositions-CMMSE
    Hernandez, Juan C.
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2017, 55 (07) : 1376 - 1391
  • [30] Bounds for the geometric-arithmetic index of unicyclic graphs
    Moon, Sunyo
    Park, Seungkook
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (04) : 2955 - 2971