无限图的谱：两种计算方法
Spectra of infinite graphs: two methods of computation
摘要：
本文提出了计算某些无限图的谱的两种方法。第一个可以被看作是一个反向的Gram-Schmidt正交化过程。它在很大程度上依赖于雅可比矩阵的谱理论。第二种方法与分块矩阵的Schur补有关。给出了一些具体的例子，包括带尾的无限图、圈链图和梯子图。
英文摘要：
Two method for computation of the spectra of certain infinite graphs are suggested. The first one can be viewed as a reversed Gram--Schmidt orthogonalization procedure. It relies heavily on the spectral theory of Jacobi matrices. The second method is related to the Schur complement for block matrices. A number of examples including infinite graphs with tails, chains of cycles and ladders are worked out in detail.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
