English

Uniqueness in quadratic and hyperbolic 0-1 programming problems

Combinatorics 2013-12-04 v1 Computational Complexity

Abstract

We analyze the question of deciding whether a quadratic or a hyperbolic 0-1 programming instance has a unique optimal solution. Both uniqueness questions are known to be NP-hard, but are unlikely to be contained in the class NP. We precisely pinpoint their computational complexity by showing that they both are complete for the complexity class {\mbox{Δ2\Delta_2P}.

Keywords

Cite

@article{arxiv.1312.0903,
  title  = {Uniqueness in quadratic and hyperbolic 0-1 programming problems},
  author = {Vladimir G. Deineko and Bettina Klinz and Gerhard J. Woeginger},
  journal= {arXiv preprint arXiv:1312.0903},
  year   = {2013}
}

Comments

6 pages

R2 v1 2026-06-22T02:19:59.246Z