Tetravalent half-arc-transitive graphs of order a product of three primes

DOI10.1016/j.disc.2015.12.022zbMath1333.05144OpenAlexW2252902335MaRDI QIDQ271635

Xiuyun Wang, Jin-Xin Zhou, Qiao Ling Ma, Yan Quan Feng, Ji Hui Wang

Publication date: 7 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.disc.2015.12.022

zbMATH Keywords

Cayley graphhalf-arc-transitive graphmetacirculants

Mathematics Subject Classification ID

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

Related Items (4)

The classification of half-arc-transitive generalizations of Bouwer graphs ⋮ Unnamed Item ⋮ Tetravalent half-arc-transitive graphs of order \(8p\) ⋮ Tetravalent half-arc-transitive graphs of order $p^2q^2$

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tetravalent half-arc-transitive graphs of order \(2pq\)
• Half-transitive graphs of prime-cube order
• A family of edge-transitive Frobenius metacirculants of small valency
• An infinite family of half-arc-transitive graphs with universal reachability relation
• Tetravalent half-transitive graphs of order \(4p\)
• A classification of tightly attached half-arc-transitive graphs of valency 4
• There exists no tetravalent half-arc-transitive graph of order \(2p^{2}\)
• On quartic half-arc-transitive metacirculants
• Hexavalent half-arc-transitive graphs of order \(4p\)
• On weakly symmetric graphs of order twice a prime
• Maps and half-transitive graphs of valency 4
• Half-transitive group actions on finite graphs of valency 4
• Tetravalent graphs admitting half-transitive group actions: Alternating cycles
• Constructing 4-valent \(\frac 12\)-transitive graphs with a nonsolvable automorphism group
• Vertex-primitive graphs of order a product of two distinct primes
• A classification of symmetric graphs of order \(3p\)
• Symmetric graphs of order a product of two distinct primes
• Constructing \(\frac{1}{2}\)-arc-transitive graphs of valency 4 and vertex stabilizer \(Z_2\times Z_2\)
• The Magma algebra system. I: The user language
• A tetravalent half-arc-transitive graph with non-abelian vertex stabilizer
• On half-transitive metacirculant graphs of prime-power order
• On primitive permutation groups with small suborbits and their orbital graphs.
• On edge-transitive Cayley graphs of valency four
• Tetravalent half-arc-transitive graphs of order \(p^4\)
• Half-arc-transitive group actions with a small number of alternets
• Constructing even radius tightly attached half-arc-transitive graphs of valency four
• An infinite family of tetravalent half-arc-transitive graphs
• Classification of half-arc-transitive graphs of order \(4p\)
• On finite simple groups of characteristic 2 type
• Tetravalent edge-transitive Cayley graphs with odd number of vertices
• The Sylow 2-subgroups of the finite classical groups
• Half-arc-transitive graphs of order 4p of valency twice a prime
• A graph which is edge transitive but not arc transitive
• Isomorphism problem for a class of point-symmetric structures
• Vertex-primitive ½-arc-transitive graphs of smallest order
• Half-transitive graphs of order a product of two distinct primes^*
• [https://portal.mardi4nfdi.de/wiki/Publication:4344215 A �-transitive graph of valency 4 with a nonsolvable group of automorphisms]
• Half-transitive graphs of valency 4 with prescribed attachment numbers
• Finite graphs of valency 4 and girth 4 admitting half-transitive group actions
• Vertex and Edge Transitive, but not 1-Transitive, Graphs
• On the Classification of Symmetric Graphs with a Prime Number of Vertices

This page was built for publication: Tetravalent half-arc-transitive graphs of order a product of three primes