Automorphisms of a distance-regular graph with intersection array \(\{30,22,9;1,3,20\}\)

DOI10.1134/S0081543821060080zbMath1481.05041MaRDI QIDQ2071607

Aleksandr Alekseevich Makhnev, Konstantin S. Efimov

Publication date: 28 January 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

graph automorphismShilla graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Simple groups: alternating groups and groups of Lie type (20D06) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

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• On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\)
• Shilla distance-regular graphs
• Finite simple groups with narrow prime spectrum.
• Distance-regular graphs with intersection arrays \(\{42,30,12;1,6,28\}\) and \(\{60,45,8;1,12,50\}\) do not exist
• Distance-regular graph with intersection array \(\{105,72,24;1,12,70\}\) does not exist

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