English

Quantum automorphism groups of finite graphs

Quantum Algebra 2007-05-23 v1

Abstract

We determine the quantum automorphism groups of finite graphs. These are quantum subgroups of the quantum permutation groups defined by Wang. The quantum automorphism group is a stronger invariant for finite graphs than the usual one. We get a quantum dihedral group D4.

Keywords

Cite

@article{arxiv.math/9902029,
  title  = {Quantum automorphism groups of finite graphs},
  author = {Julien Bichon},
  journal= {arXiv preprint arXiv:math/9902029},
  year   = {2007}
}

Comments

10 pages, AMSLatex

R2 v1 2026-07-22T18:01:51.220Z