Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$

Teodor Banica; Julien Bichon

Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$

Quantum Algebra 2007-08-30 v3 Combinatorics

Authors: Teodor Banica , Julien Bichon

Abstract

We study quantum automorphism groups of vertex-transitive graphs having less than 11 vertices. With one possible exception, these can be obtained from cyclic groups ${\mathbb Z}_n$ , symmetric groups $S_n$ and quantum symmetric groups $\mathcal Q_n$ , by using various product operations. The exceptional case is that of the Petersen graph, and we present some questions about it.

Keywords

quantum automorphism groups vertex-transitive graphs quantum symmetric groups petersen graph product operations

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@article{arxiv.math/0601758,
  title  = {Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$},
  author = {Teodor Banica and Julien Bichon},
  journal= {arXiv preprint arXiv:math/0601758},
  year   = {2007}
}

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20 pages, final version

Quantum automorphism groups of vertex-transitive graphs of order $\leq 11$

Abstract

Keywords

Cite

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