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importantSYS.SOURCE: arXiv• 2026-10-06T12:31:17Z

Efficient Algorithms for 3SUM and APSP via Sparse Lopsided Graphs

#algorithmic improvements#matrix multiplication#graph theory

This paper presents polynomial-time improvements for 3SUM and APSP problems, achieving O(n^1.9992) and O(n^2.9995) algorithms respectively. It introduces a novel matrix product algorithm that enables subquadratic triangle detection in sparse lopsided graphs, refuting multiple computational complexity hypotheses.

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