Molecular graphs with extremal first geometric-arithmetic index

被引：0
|
作者：
Rostami, Mohammadreza [1 ]
Ghorbani, Modjtaba [2 ]
机构：
[1] Mahallat Inst Higher Educ, Fac Sci, Mahallat, Iran
[2] Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785136, Iran
来源：
ARS COMBINATORIA | 2017年 / 135卷
关键词：
Geometric-Arithmetic index; molecular graphs; topological index;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let MG(i,n) be a connected molecular graph without multiple edges on n vertices whose the minimum degree of vertices is I, where 1 <= i <= 4. One of the newest topological indices is the first Geometric-Arithmetic index. In this paper we determine the graph with the minimum and. the maximum value of first Geometric-Arithmetic index in the family of graphs MG(i,n), 1 <= i <= 3.
引用
收藏
页码：235 / 242
页数：8
相关论文
共 50 条
  • [41] Spectral properties of geometric-arithmetic index
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 277 : 142 - 153
  • [42] Study on geometric-arithmetic, arithmetic-geometric and Randić indices of graphs
    Das, Kinkar Chandra
    Huh, Da-yeon
    Bera, Jayanta
    Mondal, Sourav
    DISCRETE APPLIED MATHEMATICS, 2025, 360 : 229 - 245
  • [43] 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
  • [44] On the total version of geometric-arithmetic index
    Mahmiani, A.
    Khormali, O.
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2013, 4 (01): : 21 - 26
  • [45] On ordinary generalized geometric-arithmetic index
    Eliasi, Mehdi
    Iranmanesh, Ali
    APPLIED MATHEMATICS LETTERS, 2011, 24 (04) : 582 - 587
  • [46] Inequalities Involving the Geometric-Arithmetic Index
    Carballosa, Walter
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2022, 46 (04) : 437 - 452
  • [47] On two types of geometric-arithmetic index
    Zhou, Bo
    Gutman, Ivan
    Furtula, Boris
    Du, Zhibin
    CHEMICAL PHYSICS LETTERS, 2009, 482 (1-3) : 153 - 155
  • [48] BOUNDS FOR THE GEOMETRIC-ARITHMETIC INDEX OF A GRAPH
    Sigarreta, Jose M.
    MISKOLC MATHEMATICAL NOTES, 2015, 16 (02) : 1199 - 1212
  • [49] New Results on the Geometric-Arithmetic Index
    Jahanbani, Akbar
    Atapour, Maryam
    Du, Zhibin
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [50] The Third Geometric-Arithmetic Index of Nanotubes
    Hao, Jianxiu
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2013, 10 (04) : 772 - 774
12345