One-factorizations of complete graphs with vertex-regular automorphism groups

DOI10.1002/jcd.1025zbMath0993.05112OpenAlexW2036925120WikidataQ114236296 ScholiaQ114236296MaRDI QIDQ2782293

Arrigo Bonisoli, Domenico Labbate

Publication date: 3 April 2002

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.1025

zbMATH Keywords

starterautomorphism groupone-factorizationsdihedral groupsone-factors

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)

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Uses Software

• GAP

Cites Work

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• The structure of the symmetry groups of perfect 1-factorizations of \(K_ 2n\)
• Cyclic one-factorization of the complete graph
• One-factorizations of the complete graph—A survey
• Divisibility and structure constraints on automorphism groups of almost perfect 1-factorizations of
• One-Factorizations of Complete Graphs with a Doubly Transitive Automorphism Group
• Sharply transitive 1‐factorizations of the complete graph with an invariant 1‐factor
• There are 526,915,620 nonisomorphic one‐factorizations of K₁₂
• Endliche Gruppen I