On geometric-arithmetic index

被引：0
|
作者：
Yan Yuan
Bo Zhou
Nenad Trinajstić
机构：
[1] South China Normal University,Department of Mathematics
[2] The Rugjer Bošković Institute,undefined
来源：
Journal of Mathematical Chemistry | 2010年 / 47卷
关键词：
Geometric-arithmetic index; Molecular graphs; Molecular trees; Degree (of vertex);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The geometric-arithmetic (GA) index is a newly proposed graph invariant in mathematical chemistry. We give the lower and upper bounds for GA index of molecular graphs using the numbers of vertices and edges. We also determine the n-vertex molecular trees with the minimum, the second and the third minimum, as well as the second and the third maximum GA indices.
引用
收藏
页码：833 / 841
页数：8
相关论文
共 50 条
  • [31] 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
  • [32] Maximum and Second Maximum of Geometric-Arithmetic Index of Tricyclic Graphs
    Deng, Hanyuan
    Elumalai, Suresh
    Balachandran, Selvaraj
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2018, 79 (02) : 467 - 475
  • [33] 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
  • [34] 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
  • [35] Extremal graphs for the geometric-arithmetic index with given minimum degree
    Divnic, Tomica
    Milivojevic, Milica
    Pavlovic, Ljiljana
    DISCRETE APPLIED MATHEMATICS, 2014, 162 : 386 - 390
  • [36] 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
  • [37] Upper bound for the geometric-arithmetic index of trees with given domination number
    Bermudo, Sergio
    DISCRETE MATHEMATICS, 2023, 346 (01)
  • [38] The minimum value of geometric-arithmetic index of graphs with minimum degree 2
    Sohrabi-Haghighat, Mahdi
    Rostami, Mohammadreza
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2017, 34 (01) : 218 - 232
  • [39] 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
  • [40] On the difference between geometric-arithmetic index and atom-bond connectivity index for trees
    Zuki, Wan Nor Nabila Nadia Wan
    Hasni, Roslan
    Husin, Nor Hafizah Md
    Du, Zhibin
    Raheem, Abdul
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 22 (01): : 49 - 58
12345