标题： 抽象图似空间和向量值度量图 显示英文标题

标题： Abstract graph-like space and vector-valued metric graphs

摘要： 在本文中，我们提出一些抽象的想法，说明如何根据图从构建块构造空间。 耦合通过边界对来表达，可以应用于各种不同的空间，如离散图、量子图或类似图的流形。 我们展示了类似图空间的谱分析，并考虑了向量值量子图作为特殊情况。 此外，我们提供了一个收缩类似图空间在狄利克雷边界条件下的收敛定理的原型。 （献给帕维尔·埃克斯纳70岁生日） 显示英文摘要

摘要： In this note we present some abstract ideas how one can construct spaces from building blocks according to a graph. The coupling is expressed via boundary pairs, and can be applied to very different spaces such as discrete graphs, quantum graphs or graph-like manifolds. We show a spectral analysis of graph-like spaces, and consider as a special case vector-valued quantum graphs. Moreover, we provide a prototype of a convergence theorem for shrinking graph-like spaces with Dirichlet boundary conditions. (Dedicated to Pavel Exner's 70th birthday)