Classification of cubic symmetric tetracirculants and pentacirculants

DOI10.1016/J.EJC.2012.08.005zbMath1254.05074OpenAlexW2013759793WikidataQ123694569 ScholiaQ123694569MaRDI QIDQ691575

Klavdija Kutnar, Boštjan Frelih

Publication date: 3 December 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2012.08.005

zbMATH Keywords

\(m\)-Cayley graphconnected cubic symmetric pentacirculantsconnected cubic symmetric tetracirculants

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75)

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On cubic arc-transitive \(k\)-multicirculants with soluble groups ⋮ On factor-invariant graphs with two cycles ⋮ Pentavalent symmetric graphs of order \(2p^3\) ⋮ Cubic arc-transitive \(k\)-multicirculants ⋮ Trivalent vertex-transitive bi-dihedrants ⋮ Generalised voltage graphs ⋮ Cubic vertex-transitive graphs admitting automorphisms of large order ⋮ A new generalization of generalized Petersen graphs ⋮ Finite cubic graphs admitting a cyclic group of automorphism with at most three orbits on vertices ⋮ Classification of cubic vertex-transitive tricirculants ⋮ Petersen type \(n\)-circulant and weak metacirculant ⋮ On automorphisms and structural properties of double generalized Petersen graphs ⋮ Splittable and unsplittable graphs and configurations ⋮ Symmetric graphs of valency five and their basic normal quotients ⋮ A classification of pentavalent arc-transitive bicirculants

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