155 citations · 525 across the 43 of their papers we have counts for
50 papers
Chromatic symmetric functions of claw-free graphs are not Schur positive
Jacob P. Matherne, Alejandro H. Morales
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize chromatic polynomials of graphs. In 1995, Stanley introduced these sym…
Hurwitz numbers for reflection groups III: Uniform formulas
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
We give uniform formulas for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula…
Realizing the -permutahedron via flow polytopes
Rafael S. González D'León, Alejandro H. Morales, Eva Philippe +2
Ceballos and Pons introduced the -weak order on -decreasing trees, for any weak composition . They proved that it has a lattice structure and further conjectured that it c…
Generalized Pitman-Stanley polytope: vertices and faces
William T. Dugan, Maura Hegarty, Alejandro H. Morales +1
In 1999, Pitman and Stanley introduced the polytope bearing their name along with a study of its faces, lattice points, and volume. The Pitman-Stanley polytope is well-studied due…
Hurwitz numbers for reflection groups II: Parabolic quasi-Coxeter elements
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
We define parabolic quasi-Coxeter elements in well generated complex reflection groups. We characterize them in multiple natural ways, and we study two combinatorial objects associ…
Enumeration of max-pooling responses with generalized permutohedra
Laura Escobar, Patricio Gallardo, Javier González-Anaya +3
We investigate the combinatorics of max-pooling layers, which are functions that downsample input arrays by taking the maximum over shifted windows of input coordinates, and which…