Symmetric 1-factorizations of the complete graph

DOI10.1016/J.EJC.2009.12.003zbMath1218.05145OpenAlexW2022053216WikidataQ114184868 ScholiaQ114184868MaRDI QIDQ976163

Anita Pasotti, Marco Antonio Pellegrini

Publication date: 17 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.12.003

zbMATH Keywords

automorphism groupsymmetric group1-factorizationcomplete graphnon soluble group

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (10)

One-factorisations of complete graphs arising from ovals in finite planes ⋮ On the existence spectrum for sharply transitive \(G\)-designs, \(G\) a \([k\)-matching] ⋮ Unnamed Item ⋮ Vertex‐regular 1‐factorizations in infinite graphs ⋮ Quaternionic 1-factorizations and complete sets of rainbow spanning trees ⋮ Rainbow spanning tree decompositions in complete graphs colored by cyclic 1-factorizations ⋮ One-factorisations of complete graphs arising from hyperbolae in the Desarguesian affine plane ⋮ Cyclic uniform 2-factorizations of the complete multipartite graph ⋮ Abelian 1-factorizations in infinite graphs ⋮ On circular--linear one-factorizations of the complete graph

Uses Software

• GAP

Cites Work

• Cyclic one-factorization of the complete graph
• Frattini-based starters in 2-groups
• Quaternionic starters
• One-factorizations of complete graphs with vertex-regular automorphism groups
• One-factorizations of the complete graph—A survey
• Sharply transitive 1‐factorizations of the complete graph with an invariant 1‐factor
• Nilpotent 1-factorizations of the complete graph
• Abelian 1-factorizations of the complete graph
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