Semidefinite Programming Part 2
نویسندگان
چکیده
2. Max-Cut Revisited As in last week’s lecture, we approximate solutions to Max-Cut using Goemans’s and Williamson’s αGW = 0.878-approximation. Specifically, we seek max ∑ (i,j)∈E 1 4 ∥∥vi − vj∥∥2 subject to the constraint that ∀i, ‖vi‖ = 1. We can visualize this by drawing the vectors restricted to a unit circle, as seen in the figure to the left. There is an appealing geometric intuition here. When seen as assignments of unit vectors to vertices, it becomes clear that you want them somehow as far apart as possible.
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