The equivalence of semidefinite relaxations of polynomial 0-1 and ±1 programs via scaling

  • Authors:
  • Kevin K. H. Cheung

  • Affiliations:
  • School of Mathematics and Statistics, Carleton University, Canada

  • Venue:
  • Operations Research Letters
  • Year:
  • 2008

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Abstract

Many combinatorial optimization problems can be modelled as polynomial-programming problems in binary variables that are all 0-1 or +/-1. A sufficient condition under which a common method for obtaining semidefinite-programming relaxations of the two models of the same problem gives equivalent relaxations is established.