Octahedral, dicyclic and special linear solutions of some Hamilton-Waterloo problems
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Publication:3174791
DOI10.26493/1855-3974.1088.414zbMath1391.05201OpenAlexW2963990843WikidataQ129389277 ScholiaQ129389277MaRDI QIDQ3174791
Marco Buratti, Simona Bonvicini
Publication date: 18 July 2018
Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.26493/1855-3974.1088.414
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Group actions on combinatorial structures (05E18)
Related Items (15)
Uniformly resolvable decompositions of \(K_v\) into \(K_2\) and \(K_{1, 3}\) graphs ⋮ A cyclic solution for an infinite class of Hamilton-Waterloo problems ⋮ Infinitely many cyclic solutions to the Hamilton-Waterloo problem with odd length cycles ⋮ Octahedral, dicyclic and special linear solutions of some Hamilton-Waterloo problems ⋮ A note on the Hamilton-Waterloo problem with \(C_8\)-factors and \(C_m\)-factors ⋮ Constructing uniform 2-factorizations via row-sum matrices: solutions to the Hamilton-Waterloo problem ⋮ Completing the spectrum of almost resolvable cycle systems with odd cycle length ⋮ The Hamilton-Waterloo problem with \(C_4\) and \(C_m\) factors ⋮ Further results on almost resolvable cycle systems and the Hamilton–Waterloo problem ⋮ On the Hamilton-Waterloo problem with cycle lengths of distinct parities ⋮ Unnamed Item ⋮ Uniformly resolvable decompositions of \(K_v\) into paths on two, three and four vertices ⋮ On the Hamilton-Waterloo problem: the case of two cycles sizes of different parity ⋮ The Hamilton-Waterloo problem with even cycle lengths ⋮ Factorizations of complete graphs into cycles and 1-factors
Cites Work
- A complete solution to the two-table Oberwolfach problems
- The Hamilton-Waterloo problem with \(C_4\) and \(C_m\) factors
- Some progress on the existence of 1-rotational Steiner triple systems
- Complete solutions to the Oberwolfach problem for an infinite set of orders
- 1-Rotational Steiner triple systems over arbitrary groups
- Octahedral, dicyclic and special linear solutions of some Hamilton-Waterloo problems
- Rotational k‐cycle systems of order v < 3k; another proof of the existence of odd cycle systems
- Unnamed Item
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