2 papers
math.CO2026
On The Morse Ensemble Polynomial Of Simplicial Complexes
Chong Zheng
We introduce the \emph{Morse ensemble polynomial} $\ME_K(z_0,\ldots,z_d)$ of a finite simplicial complex , defined as the generating function $\ME_K = \sum_M \prod_i z_i^{c_i(M)…
math.CO2025
Connecting Discrete Morse Functions via Birth-Death Transitions
Chong Zheng
We study transformations between discrete Morse functions on a finite simplicial complex via birth-death transitions--elementary chain maps between discrete Morse complexes that ei…