Spectra and eigenspaces of arbitrary lifts of graphs

Dalfó, C.; Fiol, M. A.; Pavlíková, S. and Širáň, J. (2021). Spectra and eigenspaces of arbitrary lifts of graphs. Journal of Algebraic Combinatorics, 54(2) pp. 651–672.

DOI: https://doi.org/10.1007/s10801-021-01049-3

Abstract

We describe, in a very explicit way, a method for determining the spectra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regular or not).

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