One-regular normal Cayley graphs on dihedral groups of valency 4 or 6 with cyclic vertex stabilizer

DOI10.1007/s10114-005-0752-9zbMath1105.05033OpenAlexW2012756822MaRDI QIDQ2505381

Ju-Mok Oh, Jin Ho Kwok

Publication date: 4 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0752-9

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Characterization of edge-transitive 4-valent bicirculants ⋮ Finite 2-geodesic transitive abelian Cayley graphs ⋮ FINITE TWO-DISTANCE-TRANSITIVE DIHEDRANTS ⋮ Arc-transitive dihedrants of odd prime-power order ⋮ Tetravalent one-regular graphs of order \(2pq\) ⋮ Trivalent vertex-transitive bi-dihedrants ⋮ On \(G\)-arc-regular dihedrants and regular dihedral maps ⋮ On non-normal arc-transitive 4-valent dihedrants ⋮ One-regular graphs of square-free order of prime valency ⋮ A characterization of a family of edge-transitive metacirculant graphs ⋮ Pentavalent vertex-transitive diameter two graphs ⋮ On dihedrants admitting arc-regular group actions ⋮ Arc-regular cubic graphs of order four times an odd integer ⋮ A classification of regular \(t\)-balanced Cayley maps on dicyclic groups ⋮ On tetravalent symmetric dihedrants ⋮ On normal 2-geodesic transitive Cayley graphs ⋮ Classification of 2-arc-transitive dihedrants ⋮ Hexavalent symmetric graphs of order \(9p\) ⋮ FINITE NORMAL 2-GEODESIC TRANSITIVE CAYLEY GRAPHS ⋮ Finite edge-transitive dihedrant graphs ⋮ Cubic core-free symmetric \(m\)-Cayley graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On weakly symmetric graphs of order twice a prime
• Maps and half-transitive graphs of valency 4
• On 4-valent symmetric graphs
• A characterization of certain families of 4-valent symmetric graphs
• Automorphism groups and isomorphisms of Cayley digraphs
• Infinitely many finite one-regular graphs of any even valency.
• Construction of one-regular graphs of valency 4 and 6.
• Arc-transitive Cayley graphs of valency at most four on abelian groups
• Constructing infinite one-regular graphs
• The trivalent symmetric graphs of girth at most six
• Characterisation of Graphs which Underlie Regular Maps on Closed Surfaces
• [https://portal.mardi4nfdi.de/wiki/Publication:4344215 A �-transitive graph of valency 4 with a nonsolvable group of automorphisms]
• A One-Regular Graph of Degree Three
• A family of one-regular graphs of valency 4