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] Remark on spectral study of the geometric-arithmetic index and some generalizations
    Milovanovic, E. I.
    Milovanovic, I. Z.
    Matejic, M. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 334 : 206 - 213
  • [42] 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
  • [43] Relation between geometric-arithmetic and arithmetic-geometric indices
    Gutman, Ivan
    JOURNAL OF MATHEMATICAL CHEMISTRY, 2021, 59 (06) : 1520 - 1525
  • [44] Upper bound for the geometric-arithmetic index of trees with given domination number
    Bermudo, Sergio
    DISCRETE MATHEMATICS, 2023, 346 (01)
  • [45] 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
  • [46] Bounds for the geometric–arithmetic index of unicyclic graphs
    Sunyo Moon
    Seungkook Park
    Journal of Applied Mathematics and Computing, 2023, 69 : 2955 - 2971
  • [47] ESTIMATING THE SECOND AND THIRD GEOMETRIC-ARITHMETIC INDICES
    Gutman, Ivan
    Furtula, Boris
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (01): : 69 - 76
  • [48] On a relation between the atom-bond connectivity and the first geometric-arithmetic indices
    Zhong, Lingping
    Cui, Qing
    DISCRETE APPLIED MATHEMATICS, 2015, 185 : 249 - 253
  • [49] Relation between second and third geometric-arithmetic indices of trees
    Furtula, Boris
    Gutman, Ivan
    JOURNAL OF CHEMOMETRICS, 2011, 25 (02) : 87 - 91
  • [50] Correcting a paper on the Randic and geometric-arithmetic indices
    Mansour, Toufik
    Rostami, Mohammad Ali
    Elumalai, Suresh
    Xavier, Britto Antony
    TURKISH JOURNAL OF MATHEMATICS, 2017, 41 (01) : 27 - 32
12345