Characterization of Graphs Associated with Numerical Semigroups.

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) . [ABSTRACT FROM AUTHOR]