Odd-cycle systems with prescribed automorphism groups

DOI10.1016/j.disc.2013.09.006zbMath1277.05018OpenAlexW2004233099MaRDI QIDQ383339

Graham J. Lovegrove

Publication date: 3 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.disc.2013.09.006

zbMATH Keywords

automorphism groupcycle system

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Paths and cycles (05C38)

Related Items (1)

On the full automorphism group of a Hamiltonian cycle system of odd order

Cites Work

• On the groups of automorphisms of Steiner triple and quadruple systems
• Cycle decompositions of \(K_n\) and \(K_n-I\)
• Existence of cyclic \(k\)-cycle systems of the complete graph
• Cycle decompositions III: Complete graphs and fixed length cycles
• Rotational k‐cycle systems of order v < 3k; another proof of the existence of odd cycle systems
• Even‐cycle systems with prescribed automorphism groups
• Graphs of Degree Three with a Given Abstract Group
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