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Signatures, lifts, and eigenvalues of graphs

Lookup NU author(s): Dr Alina Vdovina

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Abstract

© Springer Nature Switzerland AG 2020.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.

Publication metadata

Author(s): Liu S, Peyerimhoff N, Vdovina A

Publication type: Book Chapter

Publication status: Published

Book Title: Discrete and Continuous Models in the Theory of Networks

Year: 2020

Volume: 281

Pages: 255-269

Print publication date: 04/09/2020

Online publication date: 04/09/2020

Acceptance date: 02/04/2016

Series Title: Operator Theory: Advances and Applications

Publisher: Springer Science and Business Media Deutschland GmbH

URL: https://doi.org/10.1007/978-3-030-44097-8_13

DOI: 10.1007/978-3-030-44097-8_13

Library holdings: Search Newcastle University Library for this item

ISBN: 9783030440961

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