Krivine diffusions attain the Goemans--Williamson approximation ratio
Data Structures and Algorithms
2019-06-26 v1
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.
Cite
@article{arxiv.1906.10615,
title = {Krivine diffusions attain the Goemans--Williamson approximation ratio},
author = {Ronen Eldan and Assaf Naor},
journal= {arXiv preprint arXiv:1906.10615},
year = {2019}
}