Lili Mu

collaborators

3 papers

math.CO2026

Simplicial Complexes of Antichains in Root Posets and Related Combinatorics of Dyck Paths

Lili Mu, Volkmar Welker

For a crystallographic root system $D$ we consider the simplicial complex $Δ_{D}$ of all antichains in the root poset of $D$ . We show that $Δ_{\ma…

math.CO2025

On a question about real rooted polynomials and f-polynomials of simplicial complexes

Lili Mu, Volkmar Welker

For a polynomial $f (t) = 1 + f_{0} t + \dots + f_{d - 1} t^{d}$ with positive integer coefficients Bell and Skandera ask if real rootedness of f(t) implies that there is a simplicial complex w…

math.CO2024

Total positivity and two inequalities by Athanasiadis and Tzanaki

Lili Mu, Volkmar Welker

Let $Δ$ be a $(d - 1)$ -dimensional simplicial complex and $h^{Δ} = (h_{0}^{Δ}, \dots, h_{d}^{Δ})$ its $h$ -vector. For a face uniform subdivision operation $F$ we write $Δ_{\mathca…