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Binary Integer Programming (BIP) problems are of interest due in part to thedifficulty they pose and because of their various applications, including thosein graph theory, combinatorial optimization and network optimization. In thisnote, we explicitly state the Lovasz-Schrijver Semidefinite Programming (SDP)relaxation (in primal-standard form) for a BIP problem, a relaxation thatyields a tighter upper-bound than the canonical Linear Programming relaxation.

A note on the Lovasz-Schrijver Semidefinite Programming Relaxation for Binary Integer Programs