On strongly regular bicirculants

DOI10.1016/j.ejc.2005.10.010zbMath1112.05052OpenAlexW1986905055MaRDI QIDQ872049

Dragan Marušič, Aleksander Malnič, Šparl Primož

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2005.10.010

zbMATH Keywords

Steiner systemsPetersen graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (17)

Eigenvalues of Cayley graphs ⋮ Trivalent vertex-transitive bi-dihedrants ⋮ The automorphisms of bi-Cayley graphs ⋮ Edge-transitive bi-Cayley graphs ⋮ Partial sum quadruples and bi-abelian digraphs ⋮ The isomorphism problem for rose window graphs ⋮ Cubic bi-Cayley graphs over abelian groups ⋮ Isomorphisms of generalized Cayley graphs ⋮ The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures ⋮ On tetravalent vertex-transitive bi-circulants ⋮ Finite edge-transitive bi-circulants ⋮ Primitive bicirculant association schemes and a generalization of Wielandt’s theorem ⋮ On edge-transitive bi-Frobenius-metacirculants ⋮ One-matching bi-Cayley graphs over Abelian groups ⋮ A classification of the graphical \(m\)-semiregular representation of finite groups ⋮ Normality of one-matching semi-Cayley graphs over finite abelian groups with maximum degree 3 ⋮ Strongly regular tri-Cayley graphs

Uses Software

• Magma

Cites Work

• Symmetry structure of bicirculants
• Strongly regular semi-Cayley graphs
• Partial difference triples
• A note on the generalized Petersen graphs that are also Cayley graphs
• The Magma algebra system. I: The user language
• On automorphisms of Cayley-digraphs of abelian groups
• On 2-arc-transitivity of Cayley graphs
• Classifying arc-transitive circulants
• A classification of 2-arc-transitive circulants
• Strongly regular graphs, partial geometries and partially balanced designs
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