928 citations
- University of California, BerkeleyUS148 papers
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- Center for Astrophysics Harvard & SmithsonianUS58 papers
- Tel Aviv UniversityIL55 papers
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- Universitat Autònoma de BarcelonaES48 papers
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4 papers · 2 filters
Acyclic systems of permutations and fine mixed subdivisions of simplices
Federico Ardila, Cesar Ceballos
A fine mixed subdivision of a (d-1)-simplex T of size n gives rise to a system of permutations of [n] on the edges of T, and to a collection of n unit (d-1)-simplic…
Enumeration of Golomb Rulers and Acyclic Orientations of Mixed Graphs
Matthias Beck, Tristram Bogart, Tu Pham
A \emph{Golomb ruler} is a sequence of distinct integers (the \emph{markings} of the ruler) whose pairwise differences are distinct. Golomb rulers can be traced back to additive nu…
Staircase skew Schur functions are Schur P-positive
Federico Ardila, Luis G. Serrano
We prove Stanley's conjecture that, if delta_n is the staircase shape, then the skew Schur functions s_{delta_n / mu} are non-negative sums of Schur P-functions. We prove that the…
Geodesics in CAT(0) Cubical Complexes
Federico Ardila, Megan Owen, Seth Sullivant
We describe an algorithm to compute the geodesics in an arbitrary CAT(0) cubical complex. A key tool is a correspondence between cubical complexes of global non-positive curvature…