On the Buratti-Horak-Rosa conjecture about Hamiltonian paths in complete graphs

zbMath1300.05148arXiv1311.2785MaRDI QIDQ405227

Marco Antonio Pellegrini, Anita Pasotti

Publication date: 4 September 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2785

zbMATH Keywords

Hamiltonian pathcomplete graphedge-length

Mathematics Subject Classification ID

Paths and cycles (05C38) Eulerian and Hamiltonian graphs (05C45)

Related Items (7)

Growable realizations: a powerful approach to the Buratti-Horak-Rosa Conjecture ⋮ A problem on partial sums in abelian groups ⋮ On unitary/strong linear realizations: Buratti-Horak-Rosa conjecture ⋮ Paths through equally spaced points on a circle ⋮ Absolute differences along Hamiltonian paths ⋮ New methods to attack the Buratti-Horak-Rosa conjecture ⋮ A generalization of the problem of Mariusz Meszka

Cites Work

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• A new result on the problem of Buratti, Horak and Rosa
• Cyclic Hamiltonian cycle systems of the \(\lambda \)-fold complete and cocktail party graphs
• On a problem of Marco Buratti
• Hamiltonian paths in the complete graph with edge-lengths 1, 2, 3
• Hamiltonian Cycle Systems Which Are Both Cyclic and Symmetric
• Dihedral Hamiltonian Cycle Systems of the Cocktail Party Graph

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