A classification of pentavalent arc-transitive bicirculants

DOI10.1007/s10801-014-0548-zzbMath1328.05076OpenAlexW2112078976MaRDI QIDQ2346756

Ademir Hujdurović, Iva Antončič, Klavdija Kutnar

Publication date: 4 June 2015

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

Full work available at URL: https://doi.org/10.1007/s10801-014-0548-z

zbMATH Keywords

edge-transitivevertex-transitivearc-transitive

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Graph algorithms (graph-theoretic aspects) (05C85) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (16)

On automorphisms of Haar graphs of abelian groups ⋮ Pentavalent symmetric graphs of order \(2p^3\) ⋮ On certain edge-transitive bicirculants of twice odd order ⋮ Two-arc-transitive bicirculants ⋮ Arc‐transitive bicirculants ⋮ On groups all of whose Haar graphs are Cayley graphs ⋮ Existence of non-Cayley Haar graphs ⋮ Arc-transitive cyclic and dihedral covers of pentavalent symmetric graphs of order twice a prime ⋮ On certain edge-transitive bicirculants ⋮ On tetravalent vertex-transitive bi-circulants ⋮ Petersen type \(n\)-circulant and weak metacirculant ⋮ Bicirculants via imprimitivity block systems ⋮ On edge-transitive bi-Frobenius-metacirculants ⋮ Symmetric graphs of valency five and their basic normal quotients ⋮ Symmetry properties of generalized graph truncations ⋮ On Haar digraphical representations of groups

Uses Software

• Magma

Cites Work

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