471 citations
- University of California, BerkeleyUS34 papers
- University of California, Santa CruzUS20 papers
- Carnegie ObservatoriesUS14 papers
- Center for Astrophysics Harvard & SmithsonianUS14 papers
- Carnegie Institution for ScienceUS12 papers
- Johns Hopkins UniversityUS10 papers
- The Ohio State UniversityUS10 papers
- Tel Aviv UniversityIL9 papers
- Space Telescope Science InstituteUS8 papers
- Institute of Physics of the Slovak Academy of SciencesSK7 papers
- Slovak Academy of SciencesSK7 papers
- Australian Astronomical ObservatoryAU6 papers
4 papers · 2 filters
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 …