The spectra of lifted digraphs

Ver/ Abrir
Fecha de publicación
2019-01-02Cita recomendada
Dalfó, Cristina;
Fiol, Miguel Angel;
Sirán, Jozef;
.
(2019)
.
The spectra of lifted digraphs.
Journal of Algebraic Combinatorics, 2019, vol. 50, núm. 4, p. 419-426.
https://doi.org/10.1007/s10801-018-0862-y.
Metadatos
Mostrar el registro completo del ítemResumen
We present a method to derive the complete spectrum of the lift Γα of a base digraph Γ , with voltage assignment α on a (finite) group G. The method is based on assigning to Γ a quotient-like matrix whose entries are elements of the group algebra C[G] , which fully represents Γα . This allows us to derive the eigenvectors and eigenvalues of the lift in terms of those of the base digraph and the irreducible characters of G. Thus, our main theorem generalizes some previous results of Lovász and Babai concerning the spectra of Cayley digraphs.