471 citations
- University of California, BerkeleyUS9 papers
- Tel Aviv UniversityIL6 papers
- Washington University in St. LouisUS4 papers
- Center for Astrophysics Harvard & SmithsonianUS3 papers
- Hungarian Astronomical AssociationHU3 papers
- Johns Hopkins UniversityUS3 papers
- Konkoly ObservatoryHU3 papers
- Space Telescope Science InstituteUS3 papers
- The University of Texas at AustinUS3 papers
- University of WashingtonUS3 papers
- Durham UniversityGB2 papers
- Eötvös Loránd UniversityHU2 papers
7 papers · 1 filter
Tropical hyperplane arrangements and oriented matroids
Federico Ardila, Mike Develin
We study the combinatorial properties of a tropical hyperplane arrangement. We define tropical oriented matroids, and prove that they share many of the properties of ordinary orien…
Pruning Processes and a New Characterization of Convex Geometries
Federico Ardila, Elitza Maneva
We provide a new characterization of convex geometries via a multivariate version of an identity that was originally proved by Maneva, Mossel and Wainwright for certain combinatori…
Partial cubes: structures, characterizations, and constructions
Sergei Ovchinnikov
Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djoković's and Winkler's relations play an important role in the theor…
Maximal Periods of (Ehrhart) Quasi-Polynomials
Matthias Beck, Steven Sam, Kevin Woods
A \emph{quasi-polynomial} is a function defined of the form , where are periodic functions in …
Cubical token systems
Sergei Ovchinnikov
The paper deals with combinatorial and stochastic structures of cubical token systems. A cubical token system is an instance of a token system, which in turn is an instance of a tr…
Semimatroids and their Tutte polynomials
Federico Ardila
We define and study "semimatroids", a class of objects which abstracts the dependence properties of an affine hyperplane arrangement. We show that geometric semilattices are precis…