The second-minimum and second-maximum values of exponential Zagreb indices among trees

被引：1
|
作者：
Yang, Lu [1 ]
Zhu, Yan [1 ]
机构：
[1] East China Univ Sci & Technol, Sch Math, Shanghai, Peoples R China
来源：
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2023年 / 15卷 / 01期
关键词：
Exponential Zagreb index; second-minimum value; second-maximum value; tree; 1ST; 3; SMALLEST; TOPOLOGICAL INDEXES; GRAPHS;
D O I：
10.1142/S1793830922500641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exponential of the first Zagreb index and the second Zagreb index of a graph G are defined as e(M1) (G) = Sigma(uv is an element of E(G)) e(d(u)+d(v)), and e(M2) (G) = Sigma(uv is an element of E(G)) e(d(u)d(v)), where E(G) denotes the set of edges and d(u) denotes the degree of vertex u. The extremal trees of these two indices among trees have been determined in previous studies. In this paper, we give the second-minimum and the second-maximum values of e(M1) and e(M2) among trees.
引用
收藏
页数：13
相关论文
共 24 条
  • [1] Extremal trees for the exponential reduced second Zagreb index
    Liu, Hechao
    Chen, Hanlin
    Liu, Jia-Bao
    Tang, Zikai
    CONTRIBUTIONS TO MATHEMATICS, 2021, 3 : 43 - 52
  • [2] Cacti with minimum, second-minimum, and third-minimum Kirchhoff indices
    Wang, Hongzhuan
    Hua, Hongbo
    Wang, Dongdong
    MATHEMATICAL COMMUNICATIONS, 2010, 15 (02) : 347 - 358
  • [3] EXPONENTIAL SECOND ZAGREB INDEX OF CHEMICAL TREES
    Balachandran, Selvaraj
    Vetrik, Tomas
    TRANSACTIONS ON COMBINATORICS, 2021, 10 (02) : 25 - 34
  • [4] (n, m)-graphs with maximum exponential second Zagreb index
    Buyantogtokh, Lkhagva
    Horoldagva, Batmend
    DISCRETE APPLIED MATHEMATICS, 2024, 343 : 350 - 354
  • [5] EXTREMAL FIRST AND SECOND ZAGREB INDICES OF APEX TREES
    Akhter, Naveed
    Jamil, Muhammad Kamran
    Tomescu, Joan
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (04): : 221 - 230
  • [6] On the Maximum and Minimum Zagreb Indices of Trees with a Given Number of Vertices of Maximum Degree
    Borovicanin, Bojana
    Lampert, Tatjana Aleksic
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2015, 74 (01) : 81 - 96
  • [7] Minimal trees with respect to exponential Zagreb indices
    Dehgardi, Nasrin
    Azari, Mahdieh
    DISCRETE APPLIED MATHEMATICS, 2025, 362 : 11 - 17
  • [8] Unicyclic and bicyclic graphs with maximum exponential second Zagreb index
    Eliasi, Mehdi
    DISCRETE APPLIED MATHEMATICS, 2022, 307 : 172 - 179
  • [9] MAXIMUM SECOND ZAGREB INDEX OF TREES WITH GIVEN ROMAN DOMINATION NUMBER
    Jamri, Ayu Ameliatul Shahilah Ahmad
    Hasni, Roslan
    Jamil, Muhammad Kamran
    Mojdeh, Doost Ali
    TRANSACTIONS ON COMBINATORICS, 2023, 12 (01) : 1 - 10
  • [10] The second-minimum Wiener index of cacti with given cycles
    Deng, Hanyuan
    Keerthi Vasan, G. C.
    Balachandran, S.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (03)
123