Computing topological indices of certain networks

被引:0
|
作者
Siddiqui, M. K. [1 ]
Naeem, M. [1 ]
Rahman, N. A. [1 ]
Imran, M. [2 ,3 ]
机构
[1] Comsats Inst Informat Technol, Dept Math, Sahiwal, Pakistan
[2] NUST, SNS, Dept Math, Sect H12, Islamabad, Pakistan
[3] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
来源
关键词
General Randi c' C' index; Atom-bond connectivity (ABC) index; Geometric-arithmetic (GA) index; octagonal network O-n(m) Toroidal polyhex H-m(n) and generalized prism P-n(m); CARTESIAN PRODUCT; CONNECTIVITY INDEX; GRAPHS; COMPUTATION; FULLERENES; PATHS;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A topological index is actually designed by transforming a chemical structure into a number. These topological indices associate certain physico-chemical properties like boiling point, stability, strain energy etc of chemical compounds. Graph theory has found a considerable use in this area of research. The topological properties of certain networks are studied recently. In this paper, we extend this study to interconnection networks and derive analytical closed results of general Randi c' index R alpha(G) for different values of "alpha" for octageonal network, toroidal polyhex and generalized prism. We also compute first Zagreb, ABC and GA indices for these important classes of networks.
引用
收藏
页码:884 / 892
页数:9
相关论文
共 50 条
  • [21] On computing some degree based topological indices for backbone DNA networks
    Kiran Naz
    Sarfraz Ahmad
    Muhammad Kamran Siddiqui
    Hafiz Muhammad Bilal
    Muhammad Imran
    Journal of Applied Mathematics and Computing, 2023, 69 : 3189 - 3204
  • [22] Computing Some Degree-Based Topological Indices of Honeycomb Networks
    Gu, Lili
    Yousaf, Shamaila
    Bhatti, Akhlaq Ahmad
    Xu, Peng
    Aslam, Adnan
    COMPLEXITY, 2022, 2022
  • [23] Computation of Certain Topological Indices of Nanotubes
    Hayat, Sakander
    Imran, Muhammad
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2015, 12 (01) : 70 - 76
  • [24] On certain topological indices of gold crystal
    Prabhu, S.
    Saikumari, N.
    Murugan, G.
    Sudhakhar, K. S.
    MATERIALS TODAY-PROCEEDINGS, 2021, 47 : 1908 - 1914
  • [25] On Topological Indices of Certain Dendrimer Structures
    Aslam, Adnan
    Bashir, Yasir
    Ahmad, Safyan
    Gao, Wei
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2017, 72 (06): : 559 - 566
  • [26] Computing topological indices of Sudoku graphs
    Wei Gao
    Muhammad Imran
    Abdul Qudair Baig
    Haidar Ali
    Mohammad Reza Farahani
    Journal of Applied Mathematics and Computing, 2017, 55 : 99 - 117
  • [27] COMPUTING TOPOLOGICAL INDICES OF CRYSTALLOGRAPHIC STRUCTURES
    Rashid, Muhammad Aamer
    Ahmad, Sarfraz
    Siddiqui, Muhammad Kamran
    Naeem, Muhammad
    REVUE ROUMAINE DE CHIMIE, 2020, 65 (05) : 447 - 459
  • [28] Computing topological indices of Sudoku graphs
    Gao, Wei
    Imran, Muhammad
    Baig, Abdul Qudair
    Ali, Haidar
    Farahani, Mohammad Reza
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 55 (1-2) : 99 - 117
  • [29] Computing Certain Topological Indices of the Line Graphs of Subdivision Graphs of Some Rooted Product Graphs
    Aslam, Adnan
    Nadeem, Muhammad Faisal
    Zahid, Zohaib
    Zafar, Sohail
    Gao, Wei
    MATHEMATICS, 2019, 7 (05)
  • [30] CERTAIN TOPOLOGICAL METHODS FOR COMPUTING DIGITAL TOPOLOGICAL COMPLEXITY
    Is, Melih
    Karaca, Ismet
    KOREAN JOURNAL OF MATHEMATICS, 2023, 31 (01): : 1 - 16