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A Semidefinite Approach to the Cover Problem
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 all --hole facets are valid, and
study its relation to an open question of Conforti et al. For the triangle free
problem, we show for that the theta body relaxations do not converge by
steps; we also prove for all an integrality gap of 2 for the
second theta body