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Broadcast CONGEST Algorithms against Adversarial Edges

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cs.DS 1

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2026 1

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Simpler and Improved Replacement Path Coverings

cs.DS · 2026-04-30 · unverdicted · novelty 7.0

A simpler conditional-expectations derandomization yields (L,f)-RPCs with Õ(f L^{f+o(1)}) covering value and Õ(f^{5/2} L^{o(1)}) query time; a new randomized construction matches an improved lower bound of Õ((L/f)^f L^{o(1)}) when f = o(log L).

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  • Simpler and Improved Replacement Path Coverings cs.DS · 2026-04-30 · unverdicted · none · ref 28

    A simpler conditional-expectations derandomization yields (L,f)-RPCs with Õ(f L^{f+o(1)}) covering value and Õ(f^{5/2} L^{o(1)}) query time; a new randomized construction matches an improved lower bound of Õ((L/f)^f L^{o(1)}) when f = o(log L).