A note on conservative galaxies, Skolem systems, cyclic cycle decompositions, and Heffter arrays

DOI10.1016/j.disc.2018.06.003zbMath1392.05092OpenAlexW2809573013WikidataQ129578251 ScholiaQ129578251MaRDI QIDQ724869

Ilan A. Goldfeder, Joaquín Tey

Publication date: 26 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.disc.2018.06.003

zbMATH Keywords

Skolem sequencecirculant graphHeffter arrayconservative graphcyclic cycle systemsequenceable set

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (1)

Conservative trees

Cites Work

• Square integer Heffter arrays with empty cells
• Skolem-type difference sets for cycle systems
• A problem on partial sums in abelian groups
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• Cyclically decomposing the complete graph into cycles
• Existence of cyclic \(k\)-cycle systems of the complete graph
• Existence of 1-rotational \(k\)-cycle systems of the complete graph
• Heffter arrays and biembedding graphs on surfaces
• On sharply vertex transitive 2-factorizations of the complete graph
• Directed paths of diagonals within polygons
• 1-Rotational Steiner triple systems over arbitrary groups
• On Partial Sums in Cyclic Groups
• On certain distributions of integers in pairs with given differences
• Verification of a Conjecture of Th. Skolem.
• A survey of Skolem-type sequences and Rosa’s use of them
• A note on conservative graphs
• Conservative graphs
• Globally simple Heffter arrays and orthogonal cyclic cycle decompositions
• Tight Heffter Arrays Exist for all Possible Values

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