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 STYLE
Liu, S., Peyerimhoff, N., & Vdovina, A. (2020). Signatures, lifts, and eigenvalues of graphs. In Operator Theory: Advances and Applications (Vol. 281, pp. 255–269). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-44097-8_13
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