On \(Q\)-polynomial distance-regular graphs \(\Gamma\) with strongly regular graphs \(\Gamma_2\) and \(\Gamma_3\)

DOI10.33048/semi.2019.16.096zbMath1426.05061OpenAlexW3015657265MaRDI QIDQ2334773

Aleksandr Alekseevich Makhnev, Ivan Nikolaevich Belousov, Marina Sefovna Nirova

Publication date: 7 November 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.096

zbMATH Keywords

distance-regular graph\(Q\)-polynomial graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12)

Related Items (1)

The nonexistence small \(Q\)-polynomial graphs of type (III)

Cites Work

• Unnamed Item
• Extremal 1-codes in distance-regular graphs of diameter 3
• Shilla distance-regular graphs
• Using equality in the Krein conditions to prove nonexistence of certain distance-regular graphs
• A new inequality for distance-regular graphs
• On distance-regular graph \(\Gamma\) with strongly regular graphs \(\Gamma_2\) and \(\Gamma_3\)
• Distance-regular graphs with intersection array \(\{69,56,10;1,14,60\}\), \(\{74,54,15;1,9,60\}\) and \(\{119,100,15;1,20,105\}\) do not exist

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