The spectra of lifted digraphs

DOI10.1007/s10801-018-0862-yzbMath1429.05083arXiv1707.04463OpenAlexW2964245746WikidataQ128643626 ScholiaQ128643626MaRDI QIDQ2279157

C. Dalfó, Jozef Širáň, Miquel Àngel Fiol

Publication date: 12 December 2019

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04463

zbMATH Keywords

digraphspectrumadjacency matrixregular partitionlifted digraphquotient digraph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20)

Related Items (11)

Eigenvalues of Cayley graphs ⋮ Lower bounds for the spectral norm of digraphs ⋮ Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups ⋮ On the spectra of token graphs of cycles and other graphs ⋮ On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs ⋮ Distance and adjacency spectra and eigenspaces for three (di)graph lifts: a unified approach ⋮ The integrality of distance spectra of quasiabelian 2-Cayley graphs ⋮ Regular coverings and parallel products of Farey maps ⋮ Spectra and eigenspaces of arbitrary lifts of graphs ⋮ A group representation approach to balance of gain graphs ⋮ The zeta functions of dihypergraphs and dihypergraph coverings

Cites Work

• Distance regular covers of the complete graph
• Spectra of Cayley graphs
• Generating all graph coverings by permutation voltage assignments
• Spectra of graphs with transitive groups
• Characteristic polynomials of some graph coverings
• An algebraic approach to lifts of digraphs
• A new construction of antipodal distance regular covers of complete graphs through the use of Godsil-Hensel matrices
• Caracteristics polynomials of some grap bundlesII
• Characteristic polynomials of graph coverings
• Digraphs
• Characteristic polynomials of graph bundles having voltages in a dihedral group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The spectra of lifted digraphs