On strongly regular graphs with eigenvalue \(\mu\) and their extensions

DOI10.1134/S0081543814050137zbMath1302.05211MaRDI QIDQ471005

Dmitriĭ Viktorovich Paduchikh, Aleksandr Alekseevich Makhnev

Publication date: 13 November 2014

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

zbMATH Keywords

strongly regular graph\(AT4\)-graphlocally \(\mathcal{M}\)-graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

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On automorphisms of a distance-regular graph with intersection array \(\{204, 175, 48, 1; 1, 12, 175, 204\}\) ⋮ Automorphisms of Shilla graph with intersection array \(\{115,96,16;1,8,92\}\) ⋮ Automorphisms of distance-regular graph with intersection array \(\{144,125,32,1;1,8,125,144\}\) ⋮ Automorphisms of a distance-regular graph with intersection array \(\{176, 135, 32, 1; 1, 16, 135, 176\}\) ⋮ Inverse problems in the class of distance-regular graphs of diameter 4

Cites Work

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• Krein parameters and antipodal tight graphs with diameter 3 and 4
• AT4 family and 2-homogeneous graphs
• Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs