An algebraic approach to lifts of digraphs

DOI10.1016/j.dam.2018.10.040zbMath1421.05048arXiv1612.08855OpenAlexW2728658236WikidataQ128835246 ScholiaQ128835246MaRDI QIDQ2328094

Mirka Miller, C. Dalfó, Joseph F. Ryan, Miquel Àngel Fiol, Jozef Širáň

Publication date: 9 October 2019

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08855

zbMATH Keywords

digraphspectrumadjacency matrixabelian groupgeneralized Petersen graphregular partitionlifted digraphquotient digraphvoltage digraphs

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)

Related Items (8)

Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups ⋮ On the spectra of token graphs of cycles and other graphs ⋮ Regular coverings and parallel products of Farey maps ⋮ Spectra and eigenspaces of arbitrary lifts of graphs ⋮ The spectra of lifted digraphs ⋮ A group representation approach to balance of gain graphs ⋮ The zeta functions of dihypergraphs and dihypergraph coverings ⋮ A new approach to gross error detection for GPS networks

Cites Work

• Problems in algebraic combinatorics
• A note on the McKay-Miller-Širáň graphs
• On Moore Graphs with Diameters 2 and 3
• Line Digraph Iterations and the (d, k) Digraph Problem
• Digraphs
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