Graphs Associated with the Ideals of a Numerical Semigroup Having Metric Dimension 2.

Let Λ be a numerical semigroup and I ⊂ Λ be an irreducible ideal of Λ. The graph G I Λ assigned to an ideal I of Λ is a graph with elements of Λ ∖ I ∗ as vertices, and any two vertices x and y are adjacent if and only if x + y ∈ I. In this work, we give a complete characterization (up to isomorphism) of the graph G I Λ having metric dimension 2. [ABSTRACT FROM AUTHOR]