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 Download PDF (511Kb) |
| 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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