A Frucht's theorem for quantum graphs

Details A Frucht's theorem for quantum graphs A Frucht's theorem for quantum graphs

2010-03-12

arxiv.org/abs/1003.2529v1

Physics

Mathematical Physics

Scientific paper

A celebrated theorem due to R. Frucht states that, roughly speaking, each
group is isomorphic to the symmetry group of some graph. By "symmetry group"
the group of all graph automorphisms is meant. We provide an analogue of this
result for quantum graphs, i.e., for Schr\"odinger equations on a metric graph,
after suitably defining the notion of symmetry.

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