A simplicial complex is uniquely determined by its set of discrete Morse functions
Combinatorics
2015-09-25 v1 Algebraic Topology
Abstract
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connected graph G completely determines G.
Keywords
Cite
@article{arxiv.1509.07457,
title = {A simplicial complex is uniquely determined by its set of discrete Morse functions},
author = {Nicolas Ariel Capitelli and Elias Gabriel Minian},
journal= {arXiv preprint arXiv:1509.07457},
year = {2015}
}
Comments
11 pages, 13 figures