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On Wormald's differential equation method

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arxiv 1905.08928 v2 pith:IYH3PL6I submitted 2019-05-22 math.CO cs.DMmath.PR

Lutz Warnke This is my paper · ORCID
classification math.COcs.DMmath.PR
keywords differentialmethodequationwormaldalgorithmsapproximateapproximationcontains
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This note contains a short and simple proof of Wormald's differential equation method (that yields slightly improved approximation guarantees and error probabilities). This powerful method uses differential equations to approximate the time-evolution/dynamics of random processes and algorithms.

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  1. Online matching on stochastic block model

    cs.DS 2025-06 conditional novelty 6.0 of 10

    For online matching on sparse stochastic block models, greedy and balance policies have fluid limits described by an ODE and a differential inclusion, with an ETC bandit variant achieving sublinear regret.

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