San Francisco State University

output

19922026

most citedCatalog of Nearby Exoplanets

928 citations

Showing math.COShow all

58 papers · 1 filter

math.CO2023

Interval and $ℓ$ -interval Rational Parking Functions

Tomás Aguilar-Fraga, Jennifer Elder, Rebecca E. Garcia +12

Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions…

math.CO2022

The Degree of a Tropical Root Surface of Type $A$

Federico Ardila-Mantilla, Mont Cordero-Aguilar

We prove that the tropical surface of the root system $A_{n - 1}$ has degree $\frac{1}{2} n (n - 1) (n - 2)$ .

math.CO2021

Bivariate Chromatic Polynomials of Mixed Graphs

Matthias Beck, Sampada Kolhatkar

The bivariate chromatic polynomial $χ_{G} (x, y)$ of a graph $G = (V, E)$ , introduced by Dohmen-Pönitz-Tittmann (2003), counts all $x$ -colorings of $G$ such that adjacent vertices get…

math.CO2019

Catalan Recursion on Externally Ordered Bases of Unit Interval Positroids

Jan Tracy Camacho

The Catalan numbers form a sequence that counts over 200 combinatorial objects. A remarkable property of the Catalan numbers, which extends to these objects, is its recursive defin…

math.CO2018★ 6 cited

The equivariant volumes of the permutahedron

Federico Ardila, Anna Schindler, Andrés R. Vindas-Meléndez

We consider the action of the symmetric group $S_{n}$ on the permutahedron $Π_{n}$ . We prove that if $σ$ is a permutation of $S_{n}$ which has $m$ cycles of lengths $l_{1}, \dots, l_{m}$ , t…

math.CO2018★ 3 cited

Smooth centrally symmetric polytopes in dimension 3 are IDP

Matthias Beck, Christian Haase, Akihiro Higashitani +4

In 1997 Oda conjectured that every smooth lattice polytope has the integer decomposition property. We prove Oda's conjecture for centrally symmetric $3$ -dimensional polytopes, by s…

Interval and ℓ-interval Rational Parking Functions