3 papers
math.CO2025
Equivalences and Distinctions in Lexicographic Shellability of Posets
Stephen Lacina, Grace Stadnyk
We present two perhaps surprisingly small posets, one graded and one non-graded, that are CC-shellable in the sense of Kozlov and TCL-shellable in the sense of Hersh, but not CL-sh…
math.CO2022
Maximal chain descent orders
Stephen Lacina
This paper introduces a partial order on the maximal chains of any finite bounded poset which has a CL-labeling . We call this the maximal chain descent order induced by …
math.CO2020
Poset topology of -weak order via SB-labelings
Stephen Lacina
Ceballos and Pons generalized weak order on permutations to a partial order on certain labeled trees, thereby introducing a new class of lattices called -weak order. They also g…