3 papers
cs.DM2025
Morse sequences on stacks and flooding sequences
Gilles Bertrand
This paper builds upon the framework of \emph{Morse sequences}, a simple and effective approach to discrete Morse theory. A Morse sequence on a simplicial complex consists of a seq…
cs.DM2025
Computing gradient vector fields with Morse sequences
Gilles Bertrand, Laurent Najman
We rely on the framework of Morse sequences to enable the direct computation of gradient vector fields on simplicial complexes. A Morse sequence is a filtration from a subcomplex $…
cs.DM2024
Morse Sequences: A simple approach to discrete Morse theory
Gilles Bertrand
In this paper, we develop the notion of a Morse sequence, which provides an alternative approach to discrete Morse theory, and which is both simple and effective. A Morse sequence…