sfsu-colombia combinatorics initiative
san francisco state university
universidad de los andes
federico ardila

. lo que hacemos . what we do . courses . videos . papers . people . ecco . press .


Research articles

The SFSU-Colombia Combinatorics Initiative has given rise to the following articles, (co)authored by students:

The arithmetic Tutte polynomials of the classical root systems.
        Federico Ardila, Federico Castillo, and Mike Henley.
        Submitted.

Stiefel tropical linear spaces.
        Alex Fink and Felipe Rincon.
        Submitted.

Moving robots efficiently using the combinatorics of CAT(0) cubical complexes.
        Federico Ardila, Tia Baker, and Rika Yatchak.
        Submitted. Accepted to FPSAC 2013.

Lifted generalized permutahedra and composition polynomials.
        Federico Ardila and Jeff Doker.
        Advances in Applied Mathematics, to appear.

Acyclic systems of permutations and fine mixed subdivisions of simplices.
        Federico Ardila and Cesar Ceballos.
        To appear in Discrete and Computational Geometry.

K-classes of matroids and equivariant localization.
        Alex Fink and David E Speyer.
        Duke Math. J. 161 no. 14 (2012), 2699Ð2723.

Star1-convex functions on tropical linear spaces of complete graphs.
        Laura Escobar.
        Discrete Mathematics and Theoretical Computer Science Proceedings, Jul 2012. (electronic)

Root polytopes and growth series of root lattices.
        Federico Ardila, Matthias Beck, Serkan Hosten, Julian Pfeifle, Kim Seashore.
        SIAM Journal of Discrete Mathematics 25 (2011) 360-378.

Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes.
        Federico Ardila, Thomas Bliem, and Dido Salazar.
        Journal of Combinatorial Theory Series A, 118 (2011) 2 454-2462.

On the degree-chromatic polynomial of a tree.
        Diego Cifuentes.
        Rose-Hulman Undergraduate Mathematics Journal Volume 12, No. 2, Fall 2011.

Matroid polytopes and their volumes.
        Federico Ardila, Carolina Benedetti and Jeff Doker.
        Discrete and Computational Geometry 43 (2010) 841-854.

Valuations for matroid polytope subdivisions.
        Federico Ardila, Alex Fink and Felipe Rincon.
        Canadian Journal of Mathematics, 62 (2010) 1228-1245.

When do two planted graphs have the same cotransversal matroid?
        Federico Ardila and Amanda Ruiz.
        Boletin de la Sociedad Matematica Mexicana, 16 (2010) 63-73.

Valuative invariants for polymatroids.
        Harm Derksen and Alex Fink.
        Advances in Mathematics 225 no. 4 (2010), 1840Ð1892.

Bijections between noncrossing and nonnesting partitions for classical reflection groups.
        Alex Fink and Benjamin Iriarte Giraldo.
        Portugaliae Mathematicae 67 (2010), 369Ð401.

A Labelling of the Faces in the Shi Arrangement.
        Felipe Rincon.
        Rose-Hulman Undergraduate Mathematics Journal, Vol. 8, Issue 1, 2007.


Articulos divulgativos

Tres lecciones en combinatoria algebraica, I. Matrices totalmente negativas y funciones simetricas.
        Federico Ardila, Emerson Leon, Mercedes Rosas, and Marcos Skandera.

Tres lecciones en combinatoria algebraica, II. Funciones simetricas y teor’a de representaciones.
        Federico Ardila, Emerson Leon, Mercedes Rosas, and Marcos Skandera.

Tres lecciones en combinatoria algebraica, III. Arreglos de hiperplanos.
        Federico Ardila, Emerson Leon, Mercedes Rosas, and Marcos Skandera.

Teselaciones
        Federico Ardila y Richard Stanley. (Traduccion de Carolina Benedetti)
        Gaceta de la Real Sociedad Matematica Espanola 14 (2011) 463-490.