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Signatures, lifts, and eigenvalues of graphs.

Liu, Shiping and Peyerimhoff, Norbert and Vdovina, Alina (2020) 'Signatures, lifts, and eigenvalues of graphs.', in Discrete and continuous models in the theory of networks : operator theory : advances and applications. , pp. 255-269. Operator theory : advances and applications. (281).

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.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/978-3-030-44097-8_13
Publisher 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
Date accepted:No date available
Date deposited:23 July 2020
Date of first online publication:04 September 2020
Date first made open access:04 September 2021

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