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Signatures, Lifts, and Eigenvalues of Graphs

Liu, Shiping; Peyerimhoff, Norbert; Vdovina, Alina

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Authors

Shiping Liu

Alina Vdovina



Contributors

Fatihcan M. Atay
Editor

Pavel B. Kurasov
Editor

Delio Mugnolo
Editor

Abstract

We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Starting from a bipartite Ramanujan graph, we prove the existence of an infinite tower of 3-cyclic lifts, each of which is again Ramanujan.

Citation

Liu, S., Peyerimhoff, N., & Vdovina, A. (2020). Signatures, Lifts, and Eigenvalues of Graphs. In F. M. Atay, P. B. Kurasov, & D. Mugnolo (Eds.), Discrete and continuous models in the theory of networks : operator theory : advances and applications (255-269). Birkhäuser Verlag. https://doi.org/10.1007/978-3-030-44097-8_13

Online Publication Date Sep 4, 2020
Publication Date 2020
Deposit Date Jul 23, 2020
Publicly Available Date Sep 4, 2021
Publisher Birkhäuser Verlag
Pages 255-269
Series Title Operator theory : advances and applications
Book Title Discrete and continuous models in the theory of networks : operator theory : advances and applications.
ISBN 9783030440961
DOI https://doi.org/10.1007/978-3-030-44097-8_13

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Copyright Statement
This a post-peer-review, pre-copyedit version of a chapter published in Discrete and continuous models in the theory of networks : operator theory : advances and applications. The final authenticated version is available online at: https://doi.org/10.1007/978-3-030-44097-8_13




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