Ardila, Federico
- The Bergman complex of a matroid and phylogenetic trees
2003/11/21 by Federico Ardila, Carly Klivans, Ardila, Federico +1 · 10 citations
Computer Science · Mathematics · #05B35 #52B05 #92B10 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation #Topological and Geometric Data Analysis #math.CO #msc:05B35 #msc:52B05 #msc:92B10
- The closure of a linear space in a product of lines
2013/12/24 by Ardila, Federico, Boocher, Adam · 4 citations
#05E40 #05E45 #13P10 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
- Semimatroids and their Tutte polynomials
2004/08/31 by Federico Ardila, Ardila, Federico · 2 citations
Mathematics · #05A99 #05B35 #52C35 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A99 #msc:05B35 #msc:52C35
- Coxeter submodular functions and deformations of Coxeter permutahedra
2019/04/24 by Ardila, Federico, Castillo, Federico, Eur, Christopher +1 · 3 citations
#Combinatorics (math.CO) #FOS: Mathematics
- Lagrangian geometry of matroids
2020/04/27 by Federico Ardila, Ardila, Federico, Graham Denham +3 · 3 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
- Algebraic and geometric methods in enumerative combinatorics
2014/09/09 by Federico Ardila, Ardila, Federico · 2 citations
Computer Science · Mathematics · #05-00 #05Axx #05Exx #Advanced Mathematical Theories #Combinatorics (math.CO) #FOS: Mathematics #Graph Labeling and Dimension Problems #Mathematics and Applications
- The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial
2014/12/15 by Ardila, Federico, Brugalle, Erwan · 2 citations
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics
- The geometry of geometries: matroid theory, old and new
2021/11/16 by Federico Ardila, Ardila, Federico · 3 citations
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Graph Theory Research #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation
- Hopf monoids and generalized permutahedra
2017/09/21 by Marcelo Aguiar, Aguiar, Marcelo, Federico Ardila +1 · 2 citations
Mathematics · #05Exx #13F25 #16T30 #52Bxx (Primary) 05Axx #90C27 (Secondary) #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics
- Valuations and the Hopf Monoid of Generalized Permutahedra
2020/10/21 by Federico Ardila, Ardila, Federico, Mario Sánchez +1 · 2 citations
Computer Science · Mathematics · #05Exx #13F25 #16T30 #52Bxx (Primary) 05Axx #90C27 (Secondary) #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #semigroups and automata theory
- Lagrangian combinatorics of matroids
2021/09/23 by Ardila, Federico, Denham, Graham, Huh, June · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics
- The Catalan matroid
2002/09/25 by Federico Ardila, Ardila, Federico · 1 citation
Mathematics · #05A15 #05B35 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15 #msc:05B35
- Subdominant matroid ultrametrics
2004/04/20 by Federico Ardila, Ardila, Federico · 1 citation
Computer Science · Engineering · Mathematics · #05B35 #51F99 #92B10 #Advanced Combinatorial Mathematics #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Polynomial and algebraic computation #math.CO #math.MG #msc:05B35 #msc:51F99 #msc:92B10
- The Positive Bergman Complex of an Oriented Matroid
2004/06/07 by Federico Ardila, Ardila, Federico, Caroline J. Klivans +4 · 1 citation
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation #math.CO
- Computing the Tutte polynomial of a hyperplane arrangement
2004/09/13 by Federico Ardila, Ardila, Federico · 1 citation
Mathematics · #05A15 #05B35 #52C35 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05A15 #msc:05B35 #msc:52C35
- Tropical hyperplane arrangements and oriented matroids
2007/06/20 by Federico Ardila, Mike Develin, Ardila, Federico +1 · 1 citation
Computer Science · Mathematics · #Polynomial and algebraic computation #Algebraic Geometry and Number Theory #Advanced Combinatorial Mathematics
- Combinatorics and geometry of power ideals
2008/09/12 by Federico Ardila, Alexander Postnikov, Ardila, Federico +1 · 1 citation
Engineering · Mathematics · #05A15 #05B35 #13P99 #41A15 #52C35 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #graph theory and CDMA systems
- Geodesics in CAT(0) Cubical Complexes
2011/01/12 by Ardila, Federico, Owen, Megan, Sullivant, Seth · 1 citation
#Combinatorics (math.CO) #Computational Geometry (cs.CG) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG)
- Lifted generalized permutahedra and composition polynomials
2012/01/14 by Ardila, Federico, Doker, Jeffrey · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics
- Positroids and non-crossing partitions
2013/08/12 by Federico Ardila, Ardila, Federico, Felipe Rincón +3 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #Topological and Geometric Data Analysis
- Positively oriented matroids are realizable
2013/10/15 by Ardila, Federico, Rincón, Felipe, Williams, Lauren · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics
- The equivariant Ehrhart theory of the permutahedron
2019/11/25 by Ardila, Federico, Supina, Mariel, Vindas-Meléndez, Andrés R. · 1 citation
#05E18 #14L30 #14M25 #52A38 #52B15 #Combinatorics (math.CO) #FOS: Mathematics