3 papers
math.CO2026
An Efficient Triangulation of
Dan Guyer, Stefan Steinerberger, Yirong Yang
We present a -dimensional centrally symmetric simplicial polytope for which the antipodal quotient of its boundary forms a -vertex triangulation of the -dimensional real…
math.CO2026
Poset Partitions and the Combinatorics of the -Index
Felipe Caster, Dan Guyer, José Alejandro Samper
We introduce a new class of Eulerian posets, called S-partitionable posets, which have a non-negative cd-index. These posets are a generalization of S-shellable complexes introduce…
math.CO2025
Monotone Paths on Acyclic 3-Regular Graphs
François Clément, Dan Guyer
Motivated by trying to understand the behavior of the simplex method, Athanasiadis, De Loera and Zhang provided upper and lower bounds on the number of the monotone paths on 3-poly…