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Michel Goemans

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Duality 1Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Develops conic duality and Slater regularity for cone programs, shows the PSD and second‑order cones are self‑dual, and derives complementary slackness that…
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Duality 2Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Shows that semidefinite programming exactly captures the stable set polytope for perfect graphs (theta body = STAB for perfect graphs) and describes two ways…
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Duality 3Bridging Continuous and Discrete Optimization Boot Camp 20172017-08-21
Shows that stab(G) equals Qstab(G) exactly when every induced subgraph satisfies Omega = Chi, proved by LP duality on the weighted clique problem and Lovász’s…
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