On the structure of consistent cycles in cubic symmetric graphs

DOI10.1002/jgt.23041OpenAlexW4387448164MaRDI QIDQ6144908

Primož Šparl, Klavdija Kutnar, Štefko Miklavič, Dragan Marušič

Publication date: 30 January 2024

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.23041

zbMATH Keywords

automorphism\(s\)-regular graphshuntconsistent cyclecubic symmetric graph1/2-consistent cycle

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Eulerian and Hamiltonian graphs (05C45)

Cites Work

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• A refined classification of symmetric cubic graphs
• Consistent cycles in graphs and digraphs
• Regular groups of automorphisms of cubic graphs
• Automorphism groups of symmetric graphs of valency 3
• Odd extensions of transitive groups via symmetric graphs -- the cubic case
• A complete classification of cubic symmetric graphs of girth 6
• On the Symmetry of Cubic Graphs
• Overlap in consistent cycles
• Symmetry in Graphs
• Automorphisms of trivalent graphs

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