Classification of quartic half-arc-transitive weak metacirculants of girth at most 4

DOI10.1016/j.disc.2015.10.015zbMath1327.05237OpenAlexW2204044166MaRDI QIDQ898160

Iva Antončič, Primož Šparl

Publication date: 8 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2015.10.015

zbMATH Keywords

half-arc-transitive graphquarticgirth at most 4weak metacirculant graph

Mathematics Subject Classification ID

Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (16)

The classification of half-arc-regular bi-circulants of valency 6 ⋮ The classification of half-arc-transitive generalizations of Bouwer graphs ⋮ A classification of tetravalent half-arc-transitive metacirculants of 2-power orders ⋮ On tetravalent half-arc-transitive graphs of girth 5 ⋮ Edge-transitive bi-Cayley graphs ⋮ Half-arc-transitive graphs of prime-cube order of small valencies ⋮ Recipes for edge-transitive tetravalent graphs ⋮ Unnamed Item ⋮ Absolutely split metacyclic groups and weak metacirculants ⋮ Finite edge-transitive oriented graphs of valency four with cyclic normal quotients ⋮ Half-arc-transitive graphs and the Fano plane ⋮ Tetravalent half-arc-transitive \(p\)-graphs ⋮ Bipartite edge-transitive bi-p-metacirculants ⋮ Tetravalent half-arc-transitive graphs of order \(8p\) ⋮ A construction of pseudo metacirculants ⋮ Tetravalent half-arc-transitive graphs of order \(p^5\)

Uses Software

• Magma

Cites Work

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• Tetravalent edge-transitive graphs of girth at most 4
• A classification of tightly attached half-arc-transitive graphs of valency 4
• Almost all quartic half-arc-transitive weak metacirculants of class II are of class IV
• Consistent cycles in 1/2-arc-transitive graphs
• On quartic half-arc-transitive metacirculants
• On the classification of quartic half-arc-transitive metacirculants
• Half-transitive group actions on finite graphs of valency 4
• The Magma algebra system. I: The user language
• Half-arc-transitive group actions with a small number of alternets
• A Construction for Vertex-Transitive Graphs
• Finite graphs of valency 4 and girth 4 admitting half-transitive group actions
• A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two

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