Factored lifts of graphs and their spectra: the Abelian case

In this paper, we introduce the concept of factored lift, associated with a combined voltage graph, as a generalization of the lift graph. We present a new method for computing all the eigenvalues and eigenspaces of factored lifts when the underlying group is Abelian.

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Publication Details

Journal
Linear and Multilinear Algebra
Published
2026-02-03
DOI
https://doi.org/10.1080/03081087.2026.2621272
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Factored lifts of graphs and their spectra: the Abelian case

S. Pavlíková, M. A. Fiol, J. Širáň
Linear and Multilinear Algebra
Graph theory and applications
article

Factored lifts of graphs and their spectra: the Abelian case

S. Pavlíková, M. A. Fiol, J. Širáň
article en

Abstract

In this paper, we introduce the concept of factored lift, associated with a combined voltage graph, as a generalization of the lift graph. We present a new method for computing all the eigenvalues and eigenspaces of factored lifts when the underlying group is Abelian.

Linear and Multilinear AlgebraVol. 74(3)
Slovak University of Technology in Bratislava (SK), Universitat de Lleida (ES), FC Barcelona (ES), Universitat Politècnica de Catalunya (ES)
Openalex Percentile: Top 64%
Graph theory and applications
DOIOpen Access PDFOpenAlex
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