4 papers
Morse frames
Gilles Bertrand, Laurent Najman
In the context of discrete Morse theory, we introduce Morse frames, which are maps that associate a set of critical simplexes to all simplexes. The main example of Morse frames are…
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…
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 $…
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…