A 2011 paper by Blanco and Rosales describes an algorithm for constructing a directed tree graph of irreducible numerical semigroups of fixed Frobenius numbers. This paper will provide an overview of irreducible numerical semigroups and the directed tree graphs. We will also present new findings and conjectures concerning the structure of these trees.
Jeff Rushall, Principle Lecturer, Department of Mathematics and Statistics, Northern Arizona University
Laird, Taryn M. and Martinez, Jose E.
"Trees of Irreducible Numerical Semigroups,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 14
, Article 5.
Available at: http://scholar.rose-hulman.edu/rhumj/vol14/iss1/5