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] On the First Geometric-Arithmetic Index of Product Graphs
    Fath-Tabar, G. H.
    Hossein-Zadeh, S.
    Hamzeh, A.
    UTILITAS MATHEMATICA, 2011, 86 : 279 - 287
  • [32] The Third Geometric-Arithmetic Index of Dendrimer Nanostars
    Hao, Jianxiu
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2013, 10 (01) : 247 - 249
  • [33] Bicyclic Graphs With Maximum Geometric-Arithmetic Index
    Hasni, Roslan
    Husin, Nor Hafizah Md
    APPLIED MATHEMATICS E-NOTES, 2020, 20 : 8 - +
  • [34] A note on the fourth version of geometric-arithmetic index
    Ghorbani, M.
    Khaki, A.
    OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, 2010, 4 (12): : 2212 - 2215
  • [35] CMMSE: A new approximation to the geometric-arithmetic index
    Martinez-Perez, Alvaro
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2018, 56 (07) : 1865 - 1883
  • [36] 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
  • [37] Bounds for the geometric-arithmetic index of unicyclic graphs
    Moon, Sunyo
    Park, Seungkook
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (04) : 2955 - 2971
  • [38] Optimal Upper Bounds of the Geometric-Arithmetic Index
    Rodriguez, Jose M.
    Sigarreta, Jose M.
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021, 85 (02) : 375 - 394
  • [39] ON THE EDGE VERSION OF GEOMETRIC-ARITHMETIC INDEX OF NANOCONES
    Nadeem, Muhammad Faisal
    Zafar, Sohail
    Zahid, Zohaib
    STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA, 2016, 61 (01): : 273 - 282
  • [40] UPPER AND LOWER BOUNDS OF THE FOURTH GEOMETRIC-ARITHMETIC INDEX
    Lee, Dae-Won
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2013, 10 (01) : 69 - 76
12345