量子图的Frucht定理
A Frucht's theorem for quantum graphs
摘要：
一个著名的定理由于R。Frucht指出，粗略地说，每个群同构于某个图的对称群。所谓"对称群"是指所有图自同构的群。我们为量子图提供了类似的结果，即，在适当地定义对称性的概念之后，给出了度量图上的薛定谔方程的一个推广。
英文摘要：
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 Schrödinger equations on a metric graph, after suitably defining the notion of symmetry.
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