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Metric Dimension of Circulant Graphs with 5 Consecutive Generators

Author

Listed:
  • Martin Knor

    (Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 810 05 Bratislava, Slovakia)

  • Riste Škrekovski

    (Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
    Faculty of Information Studies, 8000 Novo Mesto, Slovenia)

  • Tomáš Vetrík

    (Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein 9301, South Africa)

Abstract

The problem of finding the metric dimension of circulant graphs with t generators 1 , 2 , … , t (and their inverses) has been extensively studied. The problem is solved for t = 2 , 3 , 4 , and some exact values and bounds are known also for t = 5 . We solve all the open cases for t = 5 .

Suggested Citation

  • Martin Knor & Riste Škrekovski & Tomáš Vetrík, 2024. "Metric Dimension of Circulant Graphs with 5 Consecutive Generators," Mathematics, MDPI, vol. 12(9), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1384-:d:1387419
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