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The Cartographer
Strassen's algorithm via orbit flip graphs
March 07, 2025 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Christian Ikenmeyer, Jakob Moosbauer
arXiv ID
2503.05467
Category
cs.DS: Data Structures & Algorithms
Citations
1
Venue
arXiv.org
Last Checked
4 months ago
Abstract
We give a short proof for Strassen's result that the rank of the 2 by 2 matrix multiplication tensor is at most 7. The proof requires no calculations and also no pattern matching or other type of nontrivial verification, and is based solely on properties of a specific order 6 group action. Our proof is based on the recent combination of flip graph algorithms and symmetries.
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