1 citations · 1 across the 5 of their papers we have counts for
9 papers
The Ehrhart polynomial of a matroid specializes to the beta invariant
Anastasia Chavez, Galen Dorpalen-Barry, Luis Ferroni +3
We show that the linear coefficient of the Ehrhart polynomial of a matroid base polytope evaluated at is equal to, up to normalization, the -invariant of the matroid. This…
Partial permutohedra
Roger E. Behrend, Federico Castillo, Anastasia Chavez +4
Partial permutohedra are lattice polytopes which were recently introduced and studied by Heuer and Striker. For positive integers and , the partial permutohedron $\mathcal{P…
The fundamental theorem of finite fields: a proof from first principles
Anastasia Chavez, Christopher O'Neill
A mathematics student's first introduction to the fundamental theorem of finite fields (FTFF) often occurs in an advanced abstract algebra course and invokes the power of Galois th…
The lattice of cycles of an undirected graph
Gennadiy Averkov, Anastasia Chavez, Jesus A. De Loera +1
We study bases of the lattice generated by the cycles of an undirected graph, defined as the integer linear combinations of the 0/1-incidence vectors of cycles. We prove structural…
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…
Quotients of uniform positroids
Carolina Benedetti, Anastasia Chavez, Daniel Tamayo
Flag matroids are a rich family of Coxeter matroids that can be characterized using pairs of matroids that form a quotient. We consider a class of matroids called positroids, intro…
Dyck Paths and Positroids from Unit Interval Orders
Anastasia Chavez, Felix Gotti
It is well known that the number of non-isomorphic unit interval orders on equals the -th Catalan number. Using work of Skandera and Reed and work of Postnikov, we show th…
The Dehn-Sommerville Relations and the Catalan Matroid
Anastasia Chavez, Nicole Yamzon
The -vector of a -dimensional polytope stores the number of faces of each dimension. When is simplicial the Dehn--Sommerville relations condense the -vector into t…
Bernoulli--Dedekind Sums
Matthias Beck, Anastasia Chavez
Let , , and denote the th periodized Bernoulli polynomial by $\B_k(x)$. We study expressions of the form \…