Locally Symmetric Graphs of Girth 4

DOI10.1002/jgt.21657zbMath1264.05087OpenAlexW1886109700MaRDI QIDQ4920650

Yaakov S. Kupitz, Micha A. Perles, Horst Martini

Publication date: 21 May 2013

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.21657

zbMATH Keywords

tessellationbipartite graphautomorphism groupmatchingRiemann surfaceFano planePetersen graphCoxeter graphgirth of a graph120-cellHeawood graphhyperbolic honeycomb\(k\)-regular graphregular dodecahedronKlein mapbathroom tilingco-Heawood graphlocally symmetric graph

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Distance in graphs (05C12) Applications of graph theory to circuits and networks (94C15) Connectivity (05C40) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Other finite incidence structures (geometric aspects) (51E30)

Related Items (2)

On the number of fixed edges of automorphisms of vertex-transitive graphs of small valency ⋮ Locally 3-Transitive Graphs of Girth 4

Cites Work

• A census of semisymmetric cubic graphs on up to 768 vertices
• A complete classification of cubic symmetric graphs of girth 6
• My Graph
• Locally Symmetric Graphs of Prescribed Girth and Coxeter Groups
• Self-dual configurations and regular graphs
• The Chords of the Non-Ruled Quadric In PG(3, 3)
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