3 problems
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The positive-cycle conjecture for determinant constraints and bound tightening in ACOPF
In an ACOPF relaxation, higher-order determinant constraints provide lower bounds on power loss, while bound tightening updates the variable bounds used by the relaxation. Positive…
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The -Perfect Graph Conjecture
-Perfect Graph Conjecture. The stable set polytope of every -perfect graph can be described by facet-defining inequalities with near-bipartite support.
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Equality of strong and weak optimal-control problem values
Let be the infimum of the weak measure linear program … subject to … with . Let denote the infimum of the co…