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Lecture Notes in Computer Science
MAX CUT is the problem of partitioning the vertices of a graph into two sets, maximizing the number of edges joining these sets. Goemans and Williamson gave an algorithm that approximates MAX CUT within a ratio of 0.87856. Their algorithm first uses a semidefinite programming relaxation of MAX CUT that embeds the vertices of the graph on the surface of an n dimensional sphere, and then cuts the sphere in two at random. In this survey we shall review several variations of this algorithm whichdoi:10.1007/978-3-540-48413-4_20 fatcat:lrsup62rrbghtlhlydfowkx7be