On factor-invariant graphs with two cycles

DOI10.1016/j.disc.2022.112937zbMath1490.05206arXiv2109.06370OpenAlexW3200916877MaRDI QIDQ2142673

Primož Šparl, Ted Dobson, Afsaneh Khodadadpour, Brian Alspach

Publication date: 27 May 2022

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

Full work available at URL: https://arxiv.org/abs/2109.06370

zbMATH Keywords

generalized Petersen graphvertex-transitivehoneycomb toroidal graphinvariant partition

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Structural characterization of families of graphs (05C75)

Uses Software

• Magma

Cites Work

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• Classification of cubic symmetric tetracirculants and pentacirculants
• Honeycomb toroidal graphs are Cayley graphs
• The Magma algebra system. I: The user language
• \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\).
• On factor-invariant graphs
• On the Proof That All Even Perfect Numbers Are of Euclid's Type
• A new generalization of generalized Petersen graphs
• Honeycomb Toroidal Graphs
• Symmetries of the honeycomb toroidal graphs

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