- Centre National de la Recherche ScientifiqueFR238 papers
- Helmholtz-Zentrum Berlin für Materialien und EnergieDE229 papers
- Technische Universität BerlinDE205 papers
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)DE122 papers
- University of CambridgeGB113 papers
- Humboldt-Universität zu BerlinDE110 papers
- ETH ZurichCH105 papers
- Zuse Institute BerlinDE105 papers
- University of GenevaCH95 papers
- Sorbonne UniversitéFR94 papers
- Leiden UniversityNL91 papers
- Princeton UniversityUS90 papers
5 papers · 2 filters
Viewing counting polynomials as Hilbert functions via Ehrhart theory
Felix Breuer, Aaron Dall
Steingrimsson (2001) showed that the chromatic polynomial of a graph is the Hilbert function of a relative Stanley-Reisner ideal. We approach this result from the point of view of…
Optimal bounds for the colored Tverberg problem
Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler
We prove a "Tverberg type" multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of B…
Ehrhart theory, Modular flow reciprocity, and the Tutte polynomial
Felix Breuer, Raman Sanyal
Given an oriented graph G, the modular flow polynomial counts the number of nowhere-zero Z_k-flows of G. We give a description of the modular flow polynomial in terms of (open) Ehr…
Flip Graphs of Degree-Bounded (Pseudo-)Triangulations
Oswin Aichholzer, Thomas Hackl, David Orden +4
We study flip graphs of triangulations whose maximum vertex degree is bounded by a constant . In particular, we consider triangulations of sets of points in convex position…
On locally constructible spheres and balls
Bruno Benedetti, Günter M. Ziegler
Durhuus and Jonsson (1995) introduced the class of "locally constructible" (LC) 3-spheres and showed that there are only exponentially-many combinatorial types of simplicial LC 3-s…