928 citations
- University of California, BerkeleyUS148 papers
- California Institute of TechnologyUS66 papers
- Carnegie Institution for ScienceUS63 papers
- University of California, Santa CruzUS63 papers
- Center for Astrophysics Harvard & SmithsonianUS58 papers
- Tel Aviv UniversityIL55 papers
- Carnegie ObservatoriesUS54 papers
- Universitat Autònoma de BarcelonaES48 papers
- Space Telescope Science InstituteUS45 papers
- Institute for High Energy PhysicsES39 papers
- University of Hawaii SystemUS39 papers
- Yale UniversityUS39 papers
10 papers · 2 filters
Enumerating Colorings, Tensions and Flows in Cell Complexes
Matthias Beck, Felix Breuer, Logan Godkin +1
We study quasipolynomials enumerating proper colorings, nowhere-zero tensions, and nowhere-zero flows in an arbitrary CW-complex , generalizing the chromatic, tension and flow p…
The combinatorics of interval-vector polytopes
Matthias Beck, Jessica De Silva, Gabriel Dorfsman-Hopkins +2
An \emph{interval vector} is a -vector in for which all the 1's appear consecutively, and an \emph{interval-vector polytope} is the convex hull of a set of in…
s-Lecture Hall Partitions, Self-Reciprocal Polynomials, and Gorenstein Cones
Matthias Beck, Benjamin Braun, Matthias Köppe +2
In 1997, Bousquet-Melou and Eriksson initiated the study of lecture hall partitions, a fascinating family of partitions that yield a finite version of Euler's celebrated odd/distin…
On Weak Chromatic Polynomials of Mixed Graphs
Matthias Beck, Daniel Blado, Joseph Crawford +2
A \emph{mixed graph} is a graph with directed edges, called arcs, and undirected edges. A -coloring of the vertices is proper if colors from are assigned to each v…
General Eulerian Numbers and Eulerian Polynomials
Tingyao Xiong, Hung-ping Tsao, Jonathan I. Hall
In this paper, we will define general Eulerian numbers and Eulerian polynomials based on general arithmetic progressions. Under the new definitions, we have been successful in exte…
Lattice-point generating functions for free sums of convex sets
Matthias Beck, Pallavi Jayawant, Tyrrell B. McAllister
Let $\J$ and $\K$ be convex sets in whose affine spans intersect at a single rational point in $\J \cap \K$, and let $\J \oplus \K = \conv(\J \cup \K)$. We give formulas f…