2 combinatorial optimization goal optimize an objective function of n 0 1 variables subject to certain constraints arises everywhere in computer science operations research scheduling etc 3 example 1 maxcut ...
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...Combinatorial optimization goal optimize an objective function of n variables subject to certain constraints arises everywhere in computer science operations research scheduling etc example maxcut input graph g v e a partition into two parts b such that edges is maximized number between can also be formulated as maximize x i j ie where s are fundamental and very easily stated problem sparsestcut the sparsity minimized closely related normalizedcut image segmentation pictures from convex relaxations most problems np hard compute exact optimum various approaches approximate optimal solution greedy heuristics linear programming lp semidefinite sdp super computational tractable integer program relax solve...