Krivine diffusions attain the Goemans--Williamson approximation ratio

June 25, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Ronen Eldan, Assaf Naor arXiv ID 1906.10615 Category cs.DS: Data Structures & Algorithms Citations 7 Venue arXiv.org Last Checked 4 months ago
Abstract
Answering a question of Abbasi-Zadeh, Bansal, Guruganesh, Nikolov, Schwartz and Singh (2018), we prove the existence of a slowed-down sticky Brownian motion whose induced rounding for MAXCUT attains the Goemans--Williamson approximation ratio. This is an especially simple particular case of the general rounding framework of Krivine diffusions that we investigate elsewhere.
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