On graphs in which neighborhoods of vertices are strongly regular with parameters \((85,14,3,2)\) or \((325,54,3,10)\)

DOI10.1134/S0081543817090097zbMath1454.05129OpenAlexW2789818783MaRDI QIDQ1744979

Xianqiang Yang

Publication date: 20 April 2018

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

Full work available at URL: https://doi.org/10.1134/s0081543817090097

zbMATH Keywords

strongly regular graphlocally \(X\)-graphautomorphism of a graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

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Cites Work

• On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\)
• Distance regular graphs in which local subgraphs are strongly regular graphs with the second eigenvalue at most 3
• An automorphism group of a distance-regular graph with intersection array \(\{24, 21, 3; 1, 3, 18\}\)
• Finite simple groups with narrow prime spectrum.
• On the automorphisms of the strongly regular graph with parameters (85, 14, 3, 2)
• On extensions of exceptional strongly regular graphs with eigenvalue 3

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