On cyclic symmetric Hamilton cycle decompositions of complete multipartite graphs

DOI10.1016/j.disc.2024.114277MaRDI QIDQ6635119

Fatima Akinola, Michael William Schroeder

Publication date: 9 November 2024

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

zbMATH Keywords

graph decompositionsymmetricHamiltonmultipartite graphcyclic

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eulerian and Hamiltonian graphs (05C45)

Cites Work

• On 2-pyramidal Hamiltonian cycle systems
• On the full automorphism group of a Hamiltonian cycle system of odd order
• Cyclic Hamiltonian cycle systems of the \(\lambda \)-fold complete and cocktail party graphs
• Cyclic Hamiltonian cycle systems of the complete graph.
• \(\phi\)-symmetric Hamilton cycle decompositions of graphs
• Cyclic Hamiltonian cycle systems of the complete graph minus a 1-factor
• Hamiltonian Cycle Systems Which Are Both Cyclic and Symmetric
• Symmetric Hamilton cycle decompositions of complete graphs minus a 1-factor
• Symmetric Hamilton cycle decompositions of the complete graph
• Dihedral Hamiltonian Cycle Systems of the Cocktail Party Graph
• Some Results on 1‐Rotational Hamiltonian Cycle Systems
• Cyclic and symmetric hamiltonian cycle systems of the complete multipartite graph: even number of parts
• Symmetric Hamilton cycle decompositions of complete multigraphs
• Mathematical recreations

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