Generalizing the generalized Petersen graphs

DOI10.1016/j.disc.2005.09.043zbMath1111.05048OpenAlexW2060332613MaRDI QIDQ864144

Andrea Previtali, Marko Lovrečič Saražin, Walter Pacco

Publication date: 13 February 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2005.09.043

zbMATH Keywords

vertex-transitivitysemiregular automorphisms

Mathematics Subject Classification ID

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

Related Items (9)

A class of highly symmetric graphs, symmetric cylindrical constructions and their spectra ⋮ Super cyclically edge-connected vertex-transitive graphs of girth at least 5 ⋮ \(GI\)-graphs: a new class of graphs with many symmetries ⋮ Weak metacirculants of odd prime power order ⋮ On the independent domination number of the generalized Petersen graphs ⋮ A new generalization of generalized Petersen graphs ⋮ Vertex-transitive expansions of (1, 3)-trees ⋮ Petersen type \(n\)-circulant and weak metacirculant ⋮ On the domination number of some graphs

Cites Work

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• On vertex symmetric digraphs
• Permutation groups, vertex-transitive digraphs and semiregular automorphisms
• Transitive Permutation Groups Without Semiregular Subgroups
• A Construction for Vertex-Transitive Graphs
• Which generalized petersen graphs are cayley graphs?
• QUASIPRIMITIVE GROUPS WITH NO FIXED POINT FREE ELEMENTS OF PRIME ORDER
• A theorem on tait colorings with an application to the generalized Petersen graphs

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