Article
Computing Fundamental Group via Forman’s Discrete Morse Theory Extended abstract
Author/s | Brendel, Piotr
Dlotko, Pawel Ellis, Graham Juda, Mateusz Mrozek, Marian |
Publication Date | 2015 |
Deposit Date | 2015-07-02 |
Published in |
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Abstract | We present research in progress on the algorithmic computation of the fundamental group of a CW complex. We use the algorithm to compute certain algebraic invariants of the fundamental group of the complement of a knot. ... We present research in progress on the algorithmic computation of the fundamental group of a CW complex. We use the algorithm to compute certain algebraic invariants of the fundamental group of the complement of a knot. We show that the invariants classify the prime knots up to 13 crossings. The long term goal is an automated classification of knots in 3D images, in particular images of proteins. |
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