English

Lieb's permanental dominance conjecture

Representation Theory 2023-06-01 v1 Combinatorics History and Overview

Abstract

We survey the impact of Lieb's influential paper "Proofs of some conjectures on permanents" [J. Math. Mech. 16 1966, 127-134], which introduced the famous permanental dominance conjecture. This conjecture has defied all attacks for over half a century, although a number of related conjectures have recently been resolved.

Keywords

Cite

@article{arxiv.2202.01867,
  title  = {Lieb's permanental dominance conjecture},
  author = {Ian M. Wanless},
  journal= {arXiv preprint arXiv:2202.01867},
  year   = {2023}
}
R2 v1 2026-06-24T09:18:55.293Z