English

Characterizing partition functions of the edge-coloring model by rank growth

Combinatorics 2015-06-25 v2 Mathematical Physics math.MP

Abstract

We characterize which graph invariants are partition functions of an edge-coloring model over the complex numbers, in terms of the rank growth of associated `connection matrices'.

Keywords

Cite

@article{arxiv.1211.3561,
  title  = {Characterizing partition functions of the edge-coloring model by rank growth},
  author = {Alexander Schrijver},
  journal= {arXiv preprint arXiv:1211.3561},
  year   = {2015}
}