带尾无限图的谱
Spectra of infinite graphs with tails
摘要:
我们显式计算(某些代数方程的模解)的无限图的谱,通过附加一个或几个无限路径到某些有限图的某些顶点。主要结果是关于这类无限图的邻接矩阵的一个标准形。在每个顶点的附加路径数相同的情况下,给出了一个完整的答案。
英文摘要:
We compute explicitly (modulo solutions of certain algebraic equations) the spectra of infinite graphs obtained by attaching one or several infinite paths to some vertices of certain finite graphs. The main result concerns a canonical form of the adjacency matrix of such infinite graphs. A complete answer is given in the case when the number of attached paths to each vertex is the same.
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。