English

Graphs with given automorphism group and large clique number

Combinatorics 2025-01-20 v1

Abstract

Barbieri recently showed that the finite graphs realising any given finite automorphism group have unbounded genus, answering a question of Cornwell et al. In this note we give a short proof of a stronger result: they have unbounded clique number.

Keywords

Cite

@article{arxiv.2501.09779,
  title  = {Graphs with given automorphism group and large clique number},
  author = {John Haslegrave},
  journal= {arXiv preprint arXiv:2501.09779},
  year   = {2025}
}

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R2 v1 2026-06-28T21:08:41.784Z