Edge metric dimension of silicate networks

被引:1
|
作者
Prabhu, Savari [1 ]
Janany, T. Jenifer [1 ]
机构
[1] Rajalakshmi Engn Coll, Dept Math, Chennai 602105, India
关键词
edge metric basis; silicate; twins; tetrahedron; chain silicate; cyclic sili- cate; GRAPHS; HONEYCOMB;
D O I
10.22049/cco.2024.29553.2052
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Metric dimension is an essential parameter in graph theory that aids in addressing issues pertaining to information retrieval, localization, network design, and chemistry through the identification of the least possible number of elements necessary to identify the vertices in a graph uniquely. A variant of metric dimension, called the edge metric dimension focuses on distinguishing the edges in a graph G, with a vertex subset. The minimum possible number of vertices in such a set is denoted as dimE(G). This paper presents the precise edge metric dimension of silicate networks.
引用
收藏
页数:10
相关论文
共 50 条
  • [1] Minimum Metric Dimension of Silicate Networks
    Manuel, Paul
    Rajasingh, Indra
    ARS COMBINATORIA, 2011, 98 : 501 - 510
  • [2] Edge Metric Dimension of Some Classes of Toeplitz Networks
    Alrowaili, Dalal
    Zahid, Zohaib
    Ahsan, Muhammad
    Zafar, Sohail
    Siddique, Imran
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [3] On the Edge Metric Dimension of Different Families of Mobius Networks
    Deng, Bo
    Nadeem, Muhammad Faisal
    Azeem, Muhammad
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [4] Edge Metric Dimension of Honeycomb and Hexagonal Networks for IoT
    Abbas, Sohail
    Raza, Zahid
    Siddiqui, Nida
    Khan, Faheem
    Whangbo, Taegkeun
    CMC-COMPUTERS MATERIALS & CONTINUA, 2022, 71 (02): : 2683 - 2695
  • [5] Metric dimension and edge metric dimension of windmill graphs
    Singh, Pradeep
    Sharma, Sahil
    Sharma, Sunny Kumar
    Bhat, Vijay Kumar
    AIMS MATHEMATICS, 2021, 6 (09): : 9138 - 9153
  • [6] Computing edge version of metric dimension of certain chemical networks
    Farooq, Muhammad Umer
    Hussain, Muhammad
    Jan, Ahmed Zubair
    Mjaeed, Afraz Hussain
    Sediqma, Mirwais
    Amjad, Ayesha
    SCIENTIFIC REPORTS, 2024, 14 (01):
  • [7] Graphs with the edge metric dimension smaller than the metric dimension
    Knor, Martin
    Majstorovic, Snjezana
    Toshi, Aoden Teo Masa
    Skrekovski, Riste
    Yero, Ismael G.
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 401
  • [8] Edge metric dimension of graphs
    Nasir, Ruby
    Zafar, Sohail
    Zahid, Zohaib
    ARS COMBINATORIA, 2019, 147 : 143 - 155
  • [9] Edge Metric Dimension of Fullerenes
    Bonyabadi, Parvane
    Khashyarmanesh, Kazem
    Tavakoli, Mostafa
    Afkhami, Mojgan
    IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2023, 14 (01): : 47 - 54
  • [10] On the edge metric dimension of graphs
    Wei, Meiqin
    Yue, Jun
    Zhu, Xiaoyu
    AIMS MATHEMATICS, 2020, 5 (05): : 4459 - 4465