4 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…