Alexander Diaz-Lopez

collaborators

3 papers

math.CO2024

Arithmetical Structures on Coconut Trees

Alexander Diaz-Lopez, Brian Ha, Pamela E. Harris +3

If G is a finite connected graph, then an arithmetical structure on $G$ is a pair of vectors $(d, r)$ with positive integer entries such that $(\diag(\mathbf{d})…

math.CO2024

Metrics on permutations with the same peak set

Alexander Diaz-Lopez, Kathryn Haymaker, Kathryn Keough +2

Let $S_{n}$ be the symmetric group on the set ${1, 2, \dots, n}$ . Given a permutation $σ = σ_{1} σ_{2} \dots σ_{n} \in S_{n}$ , we say it has a peak at index $i$ if $σ_{i - 1} < σ_{i} > σ_{i + 1}$ . Let $…

math.CO2023

Spectral Radii of Arithmetical Structures on Cycle Graphs

Alexander Diaz-Lopez, Kathryn Haymaker, Michael Tait

Let $G$ be a finite, connected graph. An arithmetical structure on $G$ is a pair of positive integer-valued vectors $(d, r)$ such that $(\text{diag}(\mathbf{d})-A_…