V. Bitonti

collaborators

4 papers

math.CO2026

Gap sets of random generalized numerical semigroups

Veronica Bitonti, Noah Kravitz

For a fixed positive integer $d$ and a small real $p > 0$ , sample a $p$ -random subset $A \subseteq Z_{\geq 0}^{d}$ , and let $S := ⟨ A ⟩$ be the generalized numerical…

math.CO2026

Sharp bounds for covering with large cliques and independent sets

Veronica Bitonti, Emma Hogan, Tommy Walker Mackay

Let $n (k_{1}, k_{2})$ be the least integer $n$ such that there exists a graph on $n$ vertices in which every vertex is contained in both a clique of size $k_{1}$ and an independent set o…

math.CO2026

Anticoncentration of random spanning trees in graphs with large minimum degree

Veronica Bitonti, Lukas Michel, Alex Scott

A classical result by Otter shows that the complete graph has an exponential number of non-isomorphic spanning trees. This was recently extended by Lee to every almost regular grap…

math.CO2024

Thron-type continued fractions (T-fractions) for some classes of increasing trees

Veronica Bitonti, Bishal Deb, Alan D. Sokal

We introduce some classes of increasing labeled and multilabeled trees, and we show that these trees provide combinatorial interpretations for certain Thron-type continued fraction…