Fast computation of the first discrete homology group

Fuente: arXiv
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Main Authors: Ender, Jacob, Kapulkin, Chris
Format: Preprint
Published: 2025
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author Ender, Jacob
Kapulkin, Chris
author_facet Ender, Jacob
Kapulkin, Chris
contents We present a new algorithm for computing the first discrete homology group of a graph. By testing the algorithm on different data sets of random graphs, we find that it significantly outperforms other known algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2512_13929
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fast computation of the first discrete homology group
Ender, Jacob
Kapulkin, Chris
Computational Geometry
Algebraic Topology
Combinatorics
05-04 (primary), 05C25, 55U15 (secondary)
We present a new algorithm for computing the first discrete homology group of a graph. By testing the algorithm on different data sets of random graphs, we find that it significantly outperforms other known algorithms.
title Fast computation of the first discrete homology group
topic Computational Geometry
Algebraic Topology
Combinatorics
05-04 (primary), 05C25, 55U15 (secondary)
url https://arxiv.org/abs/2512.13929