Algorithm solves 3-coloring problem in polynomial time, highlighting implications for complexity theory.
This paper introduces a subtractive label reduction algorithm thatsolves the 3-coloring problem in polynomial time. By identifying local-ized odd-parity loops through a monotonic reduction process, I pro-vide a novel structural proof for the efficiency of determining graphcolorability, with significant implications for the P vs N P question.
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Yuma Yoshimura (2026) studied this question.
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