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- W2995099470 abstract "The universal adjacency matrix $U$ of a graph $Gamma$, with adjacency matrix $A$, is a linear combination of $A$, the diagonal matrix $D$ of vertex degrees, the identity matrix $I$, and the all-1 matrix $J$ with real coefficients, that is, $U=c_1 A+c_2 D+c_3 I+ c_4 J$, with $c_iin {mathbb R}$ and $c_1neq 0$. Thus, as particular cases, $U$ may be the adjacency matrix, the Laplacian, the signless Laplacian, and the Seidel matrix. In this note, we show that basically the same method introduced before by the authors can be applied for determining the spectra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regular or not)." @default.
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- W2995099470 date "2019-12-08" @default.
- W2995099470 modified "2023-10-16" @default.
- W2995099470 title "A note on the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs" @default.
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