Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks

被引:0
|
作者
Javaid, Muhammad [1 ]
Aslam, Muhammad Kamran [1 ]
Asjad, Muhammad Imran [1 ]
Almutairi, Bander N. [2 ]
Inc, Mustafa [3 ,4 ,5 ]
Almohsen, Bandar [2 ]
机构
[1] Univ Management & Technol, Sch Sci, Dept Math, Lahore 54700, Pakistan
[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
[3] Biruni Univ, Dept Comp Engn, TR-34025 Istanbul, Turkey
[4] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
关键词
fractional metric dimension; web-related networks; resolving neighbourhoods; GRAPHS;
D O I
10.3390/fractalfract5040276
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science such as navigation, image processing, pattern recognition, integer programming, optimal transportation models and drugs discovery. In particular, it is used to find the locations of robots with respect to shortest distance among the destinations, minimum consumption of time, lesser number of the utilized nodes, and to characterize the chemical compounds, having unique presentations in molecular networks. After the arrival of its weighted version, known as fractional metric dimension, the rectification of distance-related problems in the aforementioned fields has revived to a great extent. In this article, we compute fractional as well as local fractional metric dimensions of web-related networks called by subdivided QCL, 2-faced web, 3-faced web, and antiprism web networks. Moreover, we analyse their final results using 2D and 3D plots.
引用
收藏
页数:24
相关论文
共 50 条
  • [21] Classification of Upper Bound Sequences of Local Fractional Metric Dimension of Rotationally Symmetric Hexagonal Planar Networks
    Ali, Shahbaz
    Mahmood, Muhammad Khalid
    Tchier, Fairouz
    Tawfiq, F. M. O.
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [22] Study of modified prism networks via fractional metric dimension
    Alamer, Ahmed
    Zafar, Hassan
    Javaid, Muhammad
    AIMS MATHEMATICS, 2023, 8 (05): : 10864 - 10886
  • [23] On Rotationally Symmetrical Planar Networks and Their Local Fractional Metric Dimension
    Ali, Shahbaz
    Ismail, Rashad
    Campena, Francis Joseph H.
    Karamti, Hanen
    Ghani, Muhammad Usman
    SYMMETRY-BASEL, 2023, 15 (02):
  • [24] Local Fractional Strong Metric Dimension of Certain Complex Networks
    Jamil, Faiza
    Kashif, Agha
    Zafar, Sohail
    Ojiema, Michael Onyango
    COMPLEXITY, 2023, 2023
  • [25] ON THE METRIC DIMENSION AND FRACTIONAL METRIC DIMENSION OF THE HIERARCHICAL PRODUCT OF GRAPHS
    Feng, Min
    Wang, Kaishun
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2013, 7 (02) : 302 - 313
  • [26] UPPER AND LOWER BOUNDS FOR ROUTING SCHEMES IN DYNAMIC NETWORKS
    AFEK, Y
    GAFNI, E
    RICKLIN, M
    30TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, 1989, : 370 - 375
  • [27] UPPER AND LOWER BOUNDS FOR POWER CONSUMPTION OF PASSIVE NETWORKS
    MARTINELLI, G
    ELECTRONICS LETTERS, 1967, 3 (12) : 553 - +
  • [28] Computing upper and lower bounds on likelihoods in intractable networks
    Jaakkola, TS
    Jordan, MI
    UNCERTAINTY IN ARTIFICIAL INTELLIGENCE, 1996, : 340 - 348
  • [29] Lower and Upper Bounds on the Pseudo-Dimension of Tensor Network Models
    Khavari, Behnoush
    Rabusseau, Guillaume
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 34 (NEURIPS 2021), 2021, 34
  • [30] Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks
    Fatima, Arooba
    Alamer, Ahmed
    Javaid, Muhammad
    MATHEMATICS, 2022, 10 (22)