English

Using real algebraic geometry to solve combinatorial problems with symmetries

Combinatorics 2014-11-11 v3

Abstract

Many combinatorial problems can be formulated as a polynomial optimization problem that can be solved by state-of-the-art methods in real algebraic geometry. In this paper we explain many important methods from real algebraic geometry, we review several applications and discuss implementation and computational aspects.

Keywords

Cite

@article{arxiv.1408.1065,
  title  = {Using real algebraic geometry to solve combinatorial problems with symmetries},
  author = {Erik Sjöland},
  journal= {arXiv preprint arXiv:1408.1065},
  year   = {2014}
}

Comments

30 pages. Update v2: Corrected some references. Update v3: Incorporated feedback

R2 v1 2026-06-22T05:21:04.702Z