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Characterization of Graphs Associated with the Ideal of Numerical Semigroups

Author

Listed:
  • Peng Xu
  • Muhammad Ahsan Binyamin
  • Adnan Aslam
  • Wajid Ali
  • Hasan Mahmood
  • Hao Zhou
  • Marco Fontana

Abstract

Let I be an ideal of a numerical semigroup Λ. We define an undirected graph GIΛ with vertex set vi:i∈Λ∖I∗=Λ∖I−0 and edge set vivj⟺i+j∈I. The aim of this article is to discuss the connectedness, girth, completeness, and some other related properties of the graph GIΛ.

Suggested Citation

  • Peng Xu & Muhammad Ahsan Binyamin & Adnan Aslam & Wajid Ali & Hasan Mahmood & Hao Zhou & Marco Fontana, 2020. "Characterization of Graphs Associated with the Ideal of Numerical Semigroups," Journal of Mathematics, Hindawi, vol. 2020, pages 1-6, September.
    • Handle: RePEc:hin:jjmath:6094372
    DOI: 10.1155/2020/6094372
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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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