Characterization of Graphs Associated with Numerical Semigroups

Author:

Binyamin Muhammad Ahsan,Siddiqui Hafiz Muhammad AfzalORCID,Khan Nida Munawar,Aslam Adnan,Rao YongshengORCID

Abstract

Let Γ be a numerical semigroup. We associate an undirected graph G ( Γ ) with a numerical semigroup Γ with vertex set { v i : i ∈ N \ Γ } and edge set { v i v j ⇔ i + j ∈ Γ } . In this article, we discuss the connectedness, diameter, girth, and some other related properties of the graph G ( Γ ) .

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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