On the Planarity of Graphs Associated with Symmetric and Pseudo Symmetric Numerical Semigroups.

Let S (m , e) be a class of numerical semigroups with multiplicity m and embedding dimension e. We call a graph G S an S (m , e) -graph if there exists a numerical semigroup S ∈ S (m , e) with V (G S) = { x : x ∈ g (S) } and E (G S) = { x y ⇔ x + y ∈ S } , where g (S) denotes the gap set of S. The aim of this article is to discuss the planarity of S (m , e) -graphs for some cases where S is an irreducible numerical semigroup. [ABSTRACT FROM AUTHOR]