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math.OC2012
A Semidefinite Approach to the Cover Problem
João Gouveia, James Pfeiffer
We apply theta body relaxations to the -cover problem and show polynomial time solvability for certain classes of graphs. In particular, we give an effective relaxation where…
math.OC2012★ 8 cited
Polytopes of Minimum Positive Semidefinite Rank
João Gouveia, Richard Z. Robinson, Rekha R. Thomas
The positive semidefinite (psd) rank of a polytope is the smallest for which the cone of real symmetric psd matrices admits an affine slice that projects onto the…