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Graphs Associated with the Ideals of a Numerical Semigroup Having Metric Dimension 2

Author

Listed:
  • Ying Wang
  • Muhammad Ahsan Binyamin
  • Wajid Ali
  • Adnan Aslam
  • Yongsheng Rao

Abstract

Let be a numerical semigroup and be an irreducible ideal of . The graph assigned to an ideal of is a graph with elements of as vertices, and any two vertices are adjacent if and only if . In this work, we give a complete characterization (up to isomorphism) of the graph having metric dimension 2.

Suggested Citation

  • Ying Wang & Muhammad Ahsan Binyamin & Wajid Ali & Adnan Aslam & Yongsheng Rao, 2021. "Graphs Associated with the Ideals of a Numerical Semigroup Having Metric Dimension 2," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-6, February.
    • Handle: RePEc:hin:jnlmpe:6697980
    DOI: 10.1155/2021/6697980
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    Cited by:

    1. Yongsheng Rao & Muhammad Ahsan Binyamin & Adnan Aslam & Maria Mehtab & Shazia Fazal, 2023. "On the Planarity of Graphs Associated with Symmetric and Pseudo Symmetric Numerical Semigroups," Mathematics, MDPI, vol. 11(7), pages 1-11, March.

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