3 papers
math.NT2024
Rarity of the infinite chains in the tree of numerical semigroups
Maria Bras-Amorós, Mariana Rosas Ribeiro
We prove that, for each fixed genus, the portion of semigroups of that genus belonging to infinite chains in the semigroup tree approaches 0 as the genus grows to infinite. This me…
cs.DM2023
Infinite chains in the tree of numerical semigroups
Mariana Rosas-Ribeiro, Maria Bras-Amorós
One major problem in the study of numerical semigroups is determining the growth of the semigroup tree. In the present work, infinite chains of numerical semigroups in the semigrou…
math.CO2023
On the seeds and the great-grandchildren of a numerical semigroup
Maria Bras-Amorós
We present a revisit of the seeds algorithm to explore the semigroup tree. First, an equivalent definition of seed is presented, which seems easier to manage. Second, we determine…