Growable realizations: a powerful approach to the Buratti-Horak-Rosa Conjecture

DOI10.26493/1855-3974.2659.be1zbMath1497.05140arXiv2105.00980OpenAlexW3157298536WikidataQ113703571 ScholiaQ113703571MaRDI QIDQ5037922

Marco Antonio Pellegrini, M. A. Ollis, John R. Schmitt, Anita Pasotti

Publication date: 29 September 2022

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00980

zbMATH Keywords

Hamiltonian pathcomplete graphedge-lengthgrowable realization

Mathematics Subject Classification ID

Paths and cycles (05C38) Distance in graphs (05C12) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Eulerian and Hamiltonian graphs (05C45)

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Cites Work

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• A new result on the problem of Buratti, Horak and Rosa
• On the Buratti-Horak-Rosa conjecture about Hamiltonian paths in complete graphs
• Absolute differences along Hamiltonian paths
• On a problem of Marco Buratti
• New methods to attack the Buratti-Horak-Rosa conjecture
• Hamiltonian paths in the complete graph with edge-lengths 1, 2, 3
• Dihedral Hamiltonian Cycle Systems of the Cocktail Party Graph