QuantumAlgorithms.aiA citable library

Reference · 1995

Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming

Goemans, M. X., & Williamson, D. P. (1995). Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. Journal of the ACM, 42(6), 1115–1145.

DOIRecord link

Authors
Michel X. Goemans; David P. Williamson
Venue
Journal of the ACM 42(6), 1115–1145

A randomized polynomial-time classical algorithm for MaxCut with expected approximation ratio at least 0.878, via semidefinite programming. Placed next to QAOA so the quantum paper's 0.6924 guarantee on 3-regular graphs is not quoted alone. The guarantees are not identical in scope; both numbers are stated on the QAOA page.

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Updated 7 Oct 2026.