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Algebra i Analiz, 2023, Volume 35, Issue 2, Pages 55–85 (Mi aa1859)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Isospectral graphs via inner symmetries

P. Kurasov, J. Muller

Stockholm University, SE-10691, Stockholm, Sweden
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Abstract: 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.
Keywords: spectral geometry, metric graph, differential operator.
Received: 17.09.2022
English version:
St. Petersburg Mathematical Journal, 2024, Volume 35, Issue 2, Pages 287–309
DOI: https://doi.org/10.1090/spmj/1805
Document Type: Article
Language: English
Citation: P. Kurasov, J. Muller, “Isospectral graphs via inner symmetries”, Algebra i Analiz, 35:2 (2023), 55–85; St. Petersburg Math. J., 35:2 (2024), 287–309
Citation in format AMSBIB
\Bibitem{KurMul23}
\by P.~Kurasov, J.~Muller
\paper Isospectral graphs via inner symmetries
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 2
\pages 55--85
\mathnet{http://mi.mathnet.ru/aa1859}
\transl
\jour St. Petersburg Math. J.
\yr 2024
\vol 35
\issue 2
\pages 287--309
\crossref{https://doi.org/10.1090/spmj/1805}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:25
    First page:13
     
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