We consider functions on a graph G whose evolution in time - ∞ <; t <; ∞ is governed by a Schro?dinger type equation with a combinatorial Laplace operator on the right side. For a given subset S of vertices of G we compute a cut-off frequency ω > 0 such that solutions to a Cauchy problem with initial data in PW (G) are completely determined by their samples on S x {kπ /ω}, where k ε N. It is shown that in the case of a bipartite graph our results are sharp.
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机译：我们考虑在图表g上的函数，其演变时间 - ∞<; T <; ∞由施施加的施法型式等式，右侧带有组合拉普拉斯镜操作员。对于G的顶点的给定子集S计算截止频率ω> 0，使得对PW（G）中的初始数据的Cauchy问题的解决方案完全由S X {Kπ/ω}上的样本确定，其中kεn.显示在二分钟的情况下，我们的结果是尖锐的。
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