Browsing Articles publicats (Matemàtica) by Author "Pavlíková, Sona"
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On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs
Dalfó, Cristina; Fiol, Miguel Angel; Pavlíková, Sona; Sirán, Jozef (Taylor & Francis, 2022-02-19)The universal adjacency matrix U of a graph Γ, 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, ... -
Spectra and eigenspaces of arbitrary lifts of graphs
Dalfó, Cristina; Fiol, Miguel Angel; Pavlíková, Sona; Sirán, Jozef (Faculty of Mathematics, Physics and Informatics, Comenius University, 2019)We describe, in a very explicit way, a method for determining the spec-tra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regularor not).