Embedding partial 4-cycle systems of arbitrary index

DOI10.1007/S00373-008-0791-YzbMath1193.05033OpenAlexW2008936885MaRDI QIDQ1014816

April Parker, C. A. Rodger

Publication date: 29 April 2009

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-008-0791-y

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Paths and cycles (05C38) Other designs, configurations (05B30)

Related Items (1)

Small embeddings for partial 5-cycle systems

Cites Work

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• Decomposition of K//(m,n)(K*//(m,n)) into cycles (circuits) of length 2k
• The embedding of partial triple systems when 4 divides \(\lambda\)
• A partial Steiner triple system of order n can be embedded in a Steiner triple system of order 6n + 3
• Il primo amore non si scorda mai or an up-to-date survey of small embeddings for partial even-cycle systems
• Outline and Amalgamated Triple Systems of Even Index
• A proof of Lindner's conjecture on embeddings of partial Steiner triple systems
• Embedding directed and undirected partial cycle systems of index λ > 1

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