Geometric perspective to Degree-Based topological indices of supramolecular chain

被引:12
|
作者
Imran, Muhammad [1 ]
Luo, Ricai [2 ]
Jamil, Muhammad Kamran [1 ]
Azeem, Muhammad [1 ]
Fahd, Khawaja Muhammad [3 ]
机构
[1] Riphah Int Univ, Riphah Inst Comp & Appl Sci, Dept Math, Lahore, Pakistan
[2] Hechi Univ, Sch Math & Phys, Yizhou 456300, Guangxi, Peoples R China
[3] Natl Univ Comp & Emerging Sci, FAST Sch Comp, Lahore, Pakistan
关键词
Geometric indices; Degree-based topological descriptors; Sombor indices; Supramolecular chain; SOMBOR INDEX;
D O I
10.1016/j.rineng.2022.100716
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Sombor index and their types are introduced pertaining to Euclidean geometry. In graph-theoretical terminology, it is the sum of all pairs of adjacent vertices root d(i)(2) + d(j)(2) given d(i) is the degree of ith vertex. Using geometrical interpretation, new types of Sombor indices are introduced. In this article, we discussed newly developed Sombor indices for the supramolecular chain of different complexes. Particularly, the first Sombor index was introduced in terms of area in Euclidean geometry. The second, fourth, and sixth versions of Sombor indices are defined in the form of angular orientation, while the third and fifth Sombor indices are formulated via perimeter.
引用
收藏
页数:7
相关论文
共 50 条
  • [2] Degree-Based Topological Indices
    Gutman, Ivan
    [J]. CROATICA CHEMICA ACTA, 2013, 86 (04) : 351 - 361
  • [3] Degree-based topological indices of boron nanotubes
    Lal, Sohan
    Negi, Shriya
    Bhat, Vijay Kumar
    [J]. AIP ADVANCES, 2023, 13 (10)
  • [4] Asymptotic Distribution of Degree-Based Topological Indices
    Yuan, Mingao
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2024, 91 (01) : 135 - 196
  • [5] On Degree-Based Topological Indices for Bicyclic Graphs
    Tache, Rozica-Maria
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2016, 76 (01) : 99 - 116
  • [6] On Degree-Based Topological Indices of Carbon Nanocones
    Sharma, Karnika
    Bhat, Vijay Kumar
    Sharma, Sunny Kumar
    [J]. ACS OMEGA, 2022, : 45562 - 45573
  • [7] Extremal problems for degree-based topological indices
    Tang, Yunfang
    West, Douglas B.
    Zhou, Bo
    [J]. DISCRETE APPLIED MATHEMATICS, 2016, 203 : 134 - 143
  • [8] Degree-based topological indices of hexagonal nanotubes
    Tomáš Vetrík
    [J]. Journal of Applied Mathematics and Computing, 2018, 58 : 111 - 124
  • [9] Degree-based topological indices of hexagonal nanotubes
    Vetrik, Tomas
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 58 (1-2) : 111 - 124
  • [10] On Degree-Based Topological Indices of Toeplitz Graphs
    Iqbal, R. M. K.
    Ahmad, M.
    Qayyum, A.
    Supadi, S. S.
    Hussain, M. J.
    Raza, S.
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21