3 papers
math.CO2026
Lattices from Pointed Building Sets: Generalized Ornamentation Lattices
Andrew Sack
We introduce a novel combinatorial structure called pointed building sets, which can be viewed as families of lattices equipped with compatibility relations. To each pointed buildi…
math.CO2024
Operahedron Lattices
Colin Defant, Andrew Sack
Laplante-Anfossi associated to each rooted plane tree a polytope called an operahedron. He also defined a partial order on the vertex set of an operahedron and asked if the resulti…
math.CO2023
The poset associahedron -vector is a comparability invariant
Son Nguyen, Andrew Sack
We show that the -vector of Galashin's poset associahedron only depends on the comparability graph of . In particular, this allows us to produce a family of p…