Fast computation of the first discrete homology group

Jacob Ender; Chris Kapulkin

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arXiv · 2512.13929

Fast computation of the first discrete homology group

Jacob Ender·Chris Kapulkin

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Abstract

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.

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Jacob Ender, Chris Kapulkin. 2025-12-15. Fast computation of the first discrete homology group. https://arxiv.org/abs/2512.13929

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