Characterization of Graphs Associated with the Ideal of Numerical Semigroups

Characterization of Graphs Associated with the Ideal of Numerical Semigroups

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematics (Hidawi) 2020, Vol.2020 (2020), p.1-6
Hauptverfasser: Mahmood, Hasan, Ali, Wajid, Aslam, Adnan, Binyamin, Muhammad Ahsan, Xu, Peng, Zhou, Hao
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Graph theory
Graphs
Mathematics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2020/6094372