Geometric realisation of the graphs of McKay-Miller-Širáň

DOI10.1016/j.jctb.2003.07.002zbMath1043.05060OpenAlexW2030731564MaRDI QIDQ1426098

Paul R. Hafner

Publication date: 14 March 2004

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2003.07.002

zbMATH Keywords

automorphism groupdiametergeometric realisationgraph automorphismbiaffine planeHoffman-Singleton graphMcKay-Miller-Širáň graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph representations (geometric and intersection representations, etc.) (05C62)

Related Items (7)

On new record graphs close to bipartite Moore graphs ⋮ New small regular graphs of girth 5 ⋮ Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes ⋮ The Hoffman-Singleton graph and its automorphisms ⋮ Families of small regular graphs of girth 5 ⋮ A family of mixed graphs with large order and diameter 2 ⋮ Unitary Graphs

Uses Software

• Magma
• nauty

Cites Work

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• Biaffine planes and divisible semiplanes
• Endliche biaffine Inzidenzebenen
• Biaffine Inzidenzebenen, Orthogonale lateinische Quadrate und 2- Assoziationsschemata
• A note on large graphs of diameter two and given maximum degree
• Problems in algebraic combinatorics
• The Hoffman-Singleton graph and its automorphisms
• A note on the McKay-Miller-Širáň graphs
• T-groups and their geometry
• Divisible Semiplanes, Arcs, and Relative Difference Sets

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