Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks

被引:2
|
作者
Gao, Tingmei [1 ]
Ahmed, Iftikhar [2 ]
机构
[1] Shaanxi Univ Technol, Sch Math & Comp Sci, Hanzhong 723000, Peoples R China
[2] Riphah Int Univ, Dept Math, Lahore Campus, Lahore 54000, Pakistan
关键词
INTERCONNECTION NETWORKS; COMPUTATION;
D O I
10.1155/2021/5877593
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya polynomials, Harary polynomials, Wiener index, modified Wiener index, hyper-Wiener index, Harary index, generalized Harary index, and multiplicative Wiener index for hierarchical hypercube networks. Our results can help to understand topology of hierarchical hypercube networks and are useful to enhance the ability of these networks. Our results can also be used to solve integral equations.
引用
收藏
页数:11
相关论文
共 50 条
  • [1] Distance-based topological polynomials and indices of friendship graphs
    Gao, Wei
    Farahani, Mohammad Reza
    Imran, Muhammad
    Kanna, M. R. Rajesh
    [J]. SPRINGERPLUS, 2016, 5
  • [2] On computation of some distance-based topological indices of circulant networks
    Ali, Faisal
    Hafeez, Abdul
    Salman, Muhammad
    Huang, Shuliang
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (06): : 1427 - 1437
  • [3] On degree and distance-based topological indices of certain interconnection networks
    Xiujun Zhang
    Zhiqiang Zhang
    Natarajan Chidambaram
    Subhasri Jaganathan
    Narasimhan Devadoss
    Vignesh Ravi
    [J]. The European Physical Journal Plus, 137
  • [4] On degree and distance-based topological indices of certain interconnection networks
    Zhang, Xiujun
    Zhang, Zhiqiang
    Chidambaram, Natarajan
    Jaganathan, Subhasri
    Devadoss, Narasimhan
    Ravi, Vignesh
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (07):
  • [5] DISTANCE EIGENVALUES, FORWARDING INDICES, AND DISTANCE-BASED TOPOLOGICAL INDICES OF COMPLEMENT OF TWO CIRCULANT NETWORKS
    Antalan, J. R. M.
    Campena, F. J. H.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (03): : 821 - 835
  • [6] On the Distance-Based Topological Indices of Polyhex Nanotori
    Arezoomand, Majid
    Taeri, Bijan
    [J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2011, 65 (01) : 241 - 248
  • [7] Relation between distance-based topological indices
    Gutman, I
    Tomovic, Z
    [J]. JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES, 2000, 40 (06): : 1333 - 1336
  • [8] On computation of some distance-based topological indices on circulant networks-II
    Ali, Faisal
    Salman, Muhammad
    Hafeez, Abdul
    Huang, Shuliang
    [J]. JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2018, 39 (04): : 759 - 782
  • [9] Some distance-based topological indices of certain polysaccharides
    Sorgun, Sezer
    Kucuk, Hakan
    Birgin, Kahraman
    [J]. JOURNAL OF MOLECULAR STRUCTURE, 2022, 1250
  • [10] QSAR study using distance-based topological indices
    Khadikar, PV
    Karmarkar, S
    Gour, K
    Agrawal, VK
    Singh, S
    [J]. OXIDATION COMMUNICATIONS, 2004, 27 (01): : 1 - 11