The arc-types of Cayley graphs

DOI10.26493/1855-3974.1327.6eezbMath1404.05217OpenAlexW2885914770MaRDI QIDQ4615056

Nemanja Poznanović, Marston D. E. Conder

Publication date: 1 February 2019

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.1327.6ee

zbMATH Keywords

Cayley graphCartesian productvertex-transitive grapharc-transitive graphcovering graphsymmetry typezero-symmetric graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Graph operations (line graphs, products, etc.) (05C76) Group actions on combinatorial structures (05E18)

Related Items (3)

Cubic graphical regular representations of \(\mathrm{PSU}_3(q)\) ⋮ Cubic graphical regular representations of \(\mathrm{PSL}_3(q)\) ⋮ Lifting a prescribed group of automorphisms of graphs

Uses Software

• Magma

Cites Work

• Recognizing Cartesian products in linear time
• The Magma algebra system. I: The user language
• The classification of half-arc-transitive generalizations of Bouwer graphs
• On a Class of Fixed-Point-Free Graphs
• Automorphism Groups of Connected Cubic Cayley Graphs of Order 4p
• Vertex-transitive graphs and their arc-types
• Vertex and Edge Transitive, but not 1-Transitive, Graphs
• Half-arc-transitive graphs of arbitrary even valency greater than 2
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