Characterization of Graphs Associated with the Ideal of Numerical Semigroups

Peng Xu, Muhammad Ahsan Binyamin, Adnan Aslam, Wajid Ali, Hasan Mahmood, Hao Zhou and Marco Fontana

Journal of Mathematics, 2020, vol. 2020, 1-6

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6094372

DOI: 10.1155/2020/6094372

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