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Fast computation of the first discrete homology group

Published: December 15, 2025 | arXiv ID: 2512.13929v1

By: Jacob Ender, Chris Kapulkin

Potential Business Impact:

Finds hidden patterns in connected data faster.

Business Areas:
Quantum Computing Science and Engineering

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.

Repos / Data Links

Page Count
11 pages

Category
Computer Science:
Computational Geometry