Decompositions of complete multigraphs into cycles of varying lengths

DOI10.1016/j.jctb.2017.09.005zbMath1379.05087OpenAlexW2963545170MaRDI QIDQ684123

Daniel Horsley, Benjamin R. Smith, Barbara M. Maenhaut, Darryn E. Bryant

Publication date: 9 February 2018

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2017.09.005

zbMATH Keywords

cycle decompositionedge decompositioncomplete multigraph

Mathematics Subject Classification ID

Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Distance in graphs (05C12)

Related Items (12)

Decomposition of a complete bipartite multigraph into arbitrary cycle sizes ⋮ Resolvable cycle decompositions of complete multigraphs and complete equipartite multigraphs via layering and detachment ⋮ GENERALISATIONS OF THE DOYEN–WILSON THEOREM ⋮ Decompositions of complete multigraphs into stars of varying sizes ⋮ Decomposition of the tensor product of complete graphs into cycles of lengths 3 and 6 ⋮ Cycle decompositions of complete digraphs ⋮ Decompositions of some regular graphs into unicyclic graphs of order five ⋮ Decompositions of some classes of dense graphs into cycles of lengths 4 and 8 ⋮ On the existence of a cyclic near-resolvable \((6n+4)\)-cycle system of \(2 K_{12n+9}\) ⋮ Cycle packings of the complete multigraph ⋮ Unnamed Item ⋮ Anchored Hyperspaces and Multigraphs.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Decompositions into 2-regular subgraphs and equitable partial cycle decompositions
• Packing cycles in complete graphs
• Packing paths in complete graphs
• Decomposition of complete multigraphs into stars
• Another class of balanced graph designs: Balanced circuit designs
• Cycle decompositions of \(K_n\) and \(K_n-I\)
• An asymptotic solution to the cycle decomposition problem for complete graphs
• Cycle decompositions III: Complete graphs and fixed length cycles
• Face 2-Colorable Embeddings with Faces of Specified Lengths
• The Existence and Construction of Balanced Incomplete Block Designs
• On the construction of odd cycle systems
• Decompositions of complete graphs into long cycles
• Hamilton cycle rich two-factorizations of complete graphs
• Decompositions of complete graphs into triangles and Hamilton cycles
• Cycle decompositions V: Complete graphs into cycles of arbitrary lengths
• Cycle decompositions of complete multigraphs
• Cycle decompositions of complete multigraphs

This page was built for publication: Decompositions of complete multigraphs into cycles of varying lengths