Seminar: Aida Khajavirad (Lehigh University)

Zoom link: 
https://cwi-nl.zoom.us/j/84909645595?pwd=b1M4QnNKVzNMdmNSVFNaZUJmR1kvUT09 
(Meeting ID: 849 0964 5595, Passcode: 772448)

Speaker: Aida Khajavirad (Lehigh University)

Title: The pseudo-Boolean polytope and polynomial-size extended formulations for binary polynomial optimization

Abstract:
With the goal of obtaining strong relaxations for binary polynomial optimization problems, we introduce the pseudo-Boolean polytope. By representing the pseudo-Boolean polytope via a signed hypergraph, we obtain sufficient conditions under which this polytope has a polynomial-size extended formulation. Our new framework unifies and extends all prior results on the existence of polynomial-size extended formulations for the convex hull of the feasible region of binary polynomial optimization problems of degree at least three. This is joint work with Alberto Del Pia.

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