Work

Factored lifts of graphs and their spectra: the Abelian case

Year: 2026

Type: article

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.

Source: Linear and Multilinear Algebra

DOI: 10.1080/03081087.2026.2621272

Authors: C. Dalfó, M. A. Fiol, S. Pavlíková, J. Širáň

Institutions: Universitat de Lleida, Universitat Politècnica de Catalunya, Slovak University of Technology in Bratislava

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia e Innovación, Universitat Politècnica de Catalunya, Agència de Gestió d'Ajuts Universitaris i de Recerca

Awards: G3441284770, G6314216151, G6643911531