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.

Bibliographic Details
Main Authors: Peng Xu, Muhammad Ahsan Binyamin, Adnan Aslam, Wajid Ali, Hasan Mahmood, Hao Zhou
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/6094372