Merge trees in discrete Morse theory
B Johnson, NA Scoville - Research in the Mathematical Sciences, 2022 - Springer
In this paper, we study merge trees induced by a discrete Morse function on a tree. Given a
discrete Morse function, we provide a method to constructing an induced merge tree and …
discrete Morse function, we provide a method to constructing an induced merge tree and …
On merge trees with a given homological sequence
NA Scoville, D Wen - arXiv preprint arXiv:2410.22344, 2024 - arxiv.org
In this paper, we study the induced homological sequence and the induced merge tree of a
discrete Morse function on a tree. A discrete Morse function on a tree gives rise to a …
discrete Morse function on a tree. A discrete Morse function on a tree gives rise to a …
Homologically equivalent discrete Morse functions
M Agiorgousis, B Green, A Onderdonk, K Rich… - Topology …, 2019 - topology.nipissingu.ca
A theory of homological equivalence of discrete Morse functions is developed in this paper,
extending the work of R. Ayala, LM Fernández, D. Fernández-Ternero, and JA Vilches …
extending the work of R. Ayala, LM Fernández, D. Fernández-Ternero, and JA Vilches …