17 citations · 29 across the 7 of their papers we have counts for
11 papers
A Möbius function computing -polynomials of nestohedra
Nicolas Avila Ramirez, Sergio A. Carrillo, Rafael S. González D'León
We introduce a poset of weighted hypergraphs on a fixed vertex set which has a remarkable property: the Möbius values of the intervals associated to any hypergraph give, up to sign…
Weighted bond posets and a new chromatic symmetric function
Rafael S. González D'León, Michelle L. Wachs
The classical bond lattice of a graph was used in a formula of Whitney to compute the chromatic polynomial. In this paper, we use weighted versions of the bond lattice, to introduc…
Whitney Twins, Whitney Duals, and Operadic Partition Posets
Rafael S. González D'León, Joshua Hallam, Yeison A. Quiceno D
We say that a pair of nonnegative integer sequences is Whitney-realizable if there exists a poset for which (the absolute values) of the…
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…
A combinatorial model for computing volumes of flow polytopes
Carolina Benedetti, Rafael S. González D'León, Christopher R. H. Hanusa +4
We introduce new families of combinatorial objects whose enumeration computes volumes of flow polytopes. These objects provide an interpretation, based on parking functions, of Bal…
The colored symmetric and exterior algebras
Rafael S. González D'León
We study colored generalizations of the symmetric algebra and its Koszul dual, the exterior algebra. The symmetric group acts on the multilinear components of thes…
A family of symmetric functions associated with Stirling permutations
Rafael S. González D'León
We present exponential generating function analogues to two classical identities involving the ordinary generating function of the complete homogeneous symmetric functions. After a…
A note on the -coefficients of the "tree Eulerian polynomial"
Rafael S. González D'León
We consider the generating polynomial of the number of rooted trees on the set counted by the number of descending edges (a parent with a greater label than a chi…
On the free Lie algebra with multiple brackets
Rafael S. González D'León
It is a classical result that the multilinear component of the free Lie algebra is isomorphic (as a representation of the symmetric group) to the top (co)homology of the proper par…
On the (co)homology of the poset of weighted partitions
Rafael S. González D'León, Michelle L. Wachs
We consider the poset of weighted partitions , introduced by Dotsenko and Khoroshkin in their study of a certain pair of dual operads. The maximal intervals of provi…
On the half-plane property and the Tutte group of a matroid
Petter Brändén, Rafael S. González D'León
A multivariate polynomial is stable if it is non-vanishing whenever all variables have positive imaginary parts. A matroid has the weak half-plane property (WHPP) if there exists a…