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arXiv · 1509.07457

A simplicial complex is uniquely determined by its set of discrete Morse functions

Nicolas Ariel Capitelli·Elias Gabriel Minian
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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.

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Nicolas Ariel Capitelli, Elias Gabriel Minian. 2015-09-24. A simplicial complex is uniquely determined by its set of discrete Morse functions. https://arxiv.org/abs/1509.07457

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