ISOSPECTRAL GRAPHS VIA INNER SYMMETRIES

被引：0
|
作者：
Kurasov, P. [1 ]
Muller, J. [1 ]
机构：
[1] Stockholm Univ, SE-10691 Stockholm, Sweden
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2024年 / 35卷 / 02期
关键词：
Spectral geometry; metric graph; differential operator; SPECTRAL-ANALYSIS; SURGERY;
D O I：
10.1090/spmj/1805
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a new class of isospectral graphs is presented. These graphs are isospectral with respect to both the normalized Laplacian on the discrete graph and the standard differential Laplacian on the corresponding metric graph. The new class of graphs is obtained by gluing together subgraphs with the Steklov maps possessing special properties. It turns out that isospectrality is related to the degeneracy of the Steklov eigenvalues.
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页码：287 / 309
页数：23
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