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Conway, William L

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cs.DS 1

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2026 1

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Lawler-Moore Speedups via Additive Combinatorics

cs.DS · 2026-04-15 · unverdicted · novelty 8.0

New algorithms solve Pm||∑w_j C_j and Pm||L_max in O(p_max^{2m-2} n) time and Pm||∑w_j U_j in O(p_max^{2m-1} n^2) time by proving that optimal schedules have machine load differences bounded by 4 p_max^2 for job prefixes.

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  • Lawler-Moore Speedups via Additive Combinatorics cs.DS · 2026-04-15 · unverdicted · none · ref 6

    New algorithms solve Pm||∑w_j C_j and Pm||L_max in O(p_max^{2m-2} n) time and Pm||∑w_j U_j in O(p_max^{2m-1} n^2) time by proving that optimal schedules have machine load differences bounded by 4 p_max^2 for job prefixes.