Cayley graphs of order 6pq and 7pq are Hamiltonian

DOI10.26493/2590-9770.1389.FA2zbMath1497.05114arXiv2009.10055OpenAlexW3178612618WikidataQ114040684 ScholiaQ114040684MaRDI QIDQ5045254

Farzad Maghsoudi

Publication date: 4 November 2022

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10055

zbMATH Keywords

Cayley graphsHamiltonian cycle

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eulerian and Hamiltonian graphs (05C45)

Related Items (2)

On hamiltonian cycles in Cayley graphs of order pqrs ⋮ Unnamed Item

Cites Work

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• Cayley graphs of order \(27p\) are Hamiltonian
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• Hamiltonian circuits in Cayley graphs
• Connected Cayley graphs of semi-direct products of cyclic groups of prime order by Abelian groups are Hamiltonian
• On hamiltonian circuits in Cayley diagrams
• Cayley graphs of order \(30p\) are Hamiltonian
• Hamiltonian cycles and paths in Cayley graphs and digraphs---a survey
• Hamiltonian cycles in Cayley graphs whose order has few prime factors
• Cayley graphs of order 16p are hamiltonian
• Cayley graphs of order kp are hamiltonian for k < 48
• A survey: Hamiltonian cycles in Cayley graphs

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