Graphs having no quantum symmetry

Details Graphs having no quantum symmetry Graphs having no quantum symmetry

2006-05-10

arxiv.org/abs/math/0605257v2

Ann. Inst. Fourier 57 (2007), 955-971

Mathematics

Combinatorics

14 pages

Scientific paper

We consider circulant graphs having $p$ vertices, with $p$ prime. To any such
graph we associate a certain number $k$, that we call type of the graph. We
prove that for $p>>k$ the graph has no quantum symmetry, in the sense that the
quantum automorphism group reduces to the classical automorphism group.

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