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HomeMIT 18.226 Probabilistic Methods in Combinatorics, Fall 2024Bounded Differences Inequality (aka Azuma-Hoeffding Inequality)

Bounded Differences Inequality (aka Azuma-Hoeffding Inequality)

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Threshold for a Random Graph to Contain a Triangle

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An important tail bound in probabilistic analysis. A Lipschitz function with independent random inputs is concentrated about its mean. Two applications: (1) the coupon collector problem; (2) the chromatic number of a random graph.