A reduction of the spectrum problem for odd sun systems and the prime case

DOI10.1002/jcd.21751arXiv1906.00630MaRDI QIDQ6188108

Anita Pasotti, Marco Buratti, Tommaso Traetta

Publication date: 1 February 2024

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

Full work available at URL: https://arxiv.org/abs/1906.00630

zbMATH Keywords

cycle systemsgraph decompositionscrown graphpartial mixed differencessun systems

Mathematics Subject Classification ID

Other designs, configurations (05B30) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph designs and isomorphic decomposition (05C51)

Cites Work

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• From Steiner triple systems to 3-Sun systems
• On the existence of \(k\)-sun systems
• On the existence of elementary Abelian cycle systems
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• Cycle decompositions of \(K_n\) and \(K_n-I\)
• Existence of cyclic \(k\)-cycle systems of the complete graph
• Existence of 1-rotational \(k\)-cycle systems of the complete graph
• Decomposition of complete multigraphs into crown graphs
• Cycle decompositions III: Complete graphs and fixed length cycles
• On the construction of odd cycle systems
• A complete solution to the existence problem for 1-rotationalk-cycle systems ofKv
• Rotational k‐cycle systems of order v < 3k; another proof of the existence of odd cycle systems

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