Some degree-based topological indices and (normalized Laplacian) energy of graphs

被引：3
|
作者：
Yan, Zimo [1 ]
Zheng, Xie [1 ]
Li, Jianping [1 ]
机构：
[1] Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R China
来源：
DISCRETE MATHEMATICS LETTERS | 2023年 / 11卷
基金：
中国国家自然科学基金;
关键词：
topological indices; graph energy; normalized Laplacian energy; energy of a vertex; RANDIC INDEX;
D O I：
10.47443/dml.2022.059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by utilizing the concept of the energy of a vertex, connections between some vertex-degree-based topological indices (including the general Randic index, the first Zagreb index, and the forgotten index) and the energy of graphs are established. Several bounds on the energy of the graphs containing no isolated vertices are also given in terms of the first Zagreb index and the forgotten index. Moreover, bounds on the normalized Laplacian energy in terms of two particular cases of the general Randic index are obtained.
引用
下载
收藏
页码：19 / 26
页数：8
相关论文
共 50 条
  • [21] Degree-based topological indices of boron nanotubes
    Lal, Sohan
    Negi, Shriya
    Bhat, Vijay Kumar
    AIP ADVANCES, 2023, 13 (10)
  • [22] Asymptotic Distribution of Degree-Based Topological Indices
    Yuan, Mingao
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2024, 91 (01) : 135 - 196
  • [23] Extremal problems for degree-based topological indices
    Tang, Yunfang
    West, Douglas B.
    Zhou, Bo
    DISCRETE APPLIED MATHEMATICS, 2016, 203 : 134 - 143
  • [24] On Degree-Based Topological Indices of Carbon Nanocones
    Sharma, Karnika
    Bhat, Vijay Kumar
    Sharma, Sunny Kumar
    ACS OMEGA, 2022, : 45562 - 45573
  • [25] Degree-based topological indices of hexagonal nanotubes
    Vetrik, Tomas
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 58 (1-2) : 111 - 124
  • [26] Degree-based topological indices of hexagonal nanotubes
    Tomáš Vetrík
    Journal of Applied Mathematics and Computing, 2018, 58 : 111 - 124
  • [27] Topological properties of Graphene using some novel neighborhood degree-based topological indices
    Mondal, Sourav
    De, Nilanjan
    Pal, Anita
    INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY, 2019, 11 (01):
  • [28] Calculating the Degree-based Topological Indices of Dendrimers
    Kang, Shin Min
    Zahid, Manzoor Ahmad
    Virk, Abaid ur Rehamn
    Nazeer, Waqas
    Gao, Wei
    OPEN CHEMISTRY, 2018, 16 (01): : 681 - 688
  • [29] Geometric Approach to Degree-Based Topological Indices: Sombor Indices
    Gutman, Ivan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2021, 86 (01) : 11 - 16
  • [30] On some neighbourhood degree-based topological indices with QSPR analysis of asthma drugs
    Balasubramaniyan, Deepa
    Chidambaram, Natarajan
    EUROPEAN PHYSICAL JOURNAL PLUS, 2023, 138 (09):
12345