Tetravalent half-arc-transitive graphs of order \(p^5\)

DOI10.1016/j.amc.2018.03.076zbMath1427.05099OpenAlexW2796511710MaRDI QIDQ2333270

Li Cui, Hui-Wen Cheng

Publication date: 12 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.03.076

zbMATH Keywords

Cayley graphnormalhalf-arc-transitive

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

A family of tetravalent half-arc-transitive graphs, Hexavalent edge-transitive graphs of order \(3p^2\), Unnamed Item, New structural results on tetravalent half-arc-transitive graphs, Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers, Tetravalent half-arc-transitive graphs of order \(8p\)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers
• Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8
• Half-transitive graphs of prime-cube order
• A classification of some regular \(p\)-groups and its applications.
• Classification of quartic half-arc-transitive weak metacirculants of girth at most 4
• A classification of tightly attached half-arc-transitive graphs of valency 4
• On the full automorphism group of a graph
• The Magma algebra system. I: The user language
• On isomorphisms of connected Cayley graphs
• Automorphism groups and isomorphisms of Cayley digraphs
• On half-transitive metacirculant graphs of prime-power order
• Tetravalent half-arc-transitive graphs of order \(p^4\)
• Classification of half-arc-transitive graphs of order \(4p\)
• Tetravalent half-arc-transitive \(p\)-graphs
• Two classes of metabelian p-groups
• A graph which is edge transitive but not arc transitive
• A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
• Some recent discoveries about half-arc-transitive graphs
• Vertex and Edge Transitive, but not 1-Transitive, Graphs
• Half-arc-transitive graphs of arbitrary even valency greater than 2