Maximizing Polynomials Subject to Assignment Constraints

  • Konstantin Makarychev
  • Maxim Sviridenko
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6755)


We study the q-adic assignment problem. We first give an O(n (q − 1)/2)-approximation algorithm for the Koopmans–Beckman version of the problem improving upon the result of Barvinok. Then, we introduce a new family of instances satisfying “tensor triangle inequalities” and give a constant factor approximation algorithm for them. We show that many classical optimization problems can be modeled by q-adic assignment problems from this family. Finally, we give several integrality gap examples for the natural LP relaxations of the problem.


Approximation Algorithm Assignment Problem Linear Programming Relaxation Performance Guarantee Quadratic Assignment Problem 
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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Konstantin Makarychev
    • 1
  • Maxim Sviridenko
    • 1
  1. 1.IBM Thomas J. Watson Research CenterUSA

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