Distance regular graphs in which local subgraphs are strongly regular graphs with the second eigenvalue at most 3

DOI10.1134/S1064562415050191zbMath1329.05098OpenAlexW2322455458MaRDI QIDQ906096

Aleksandr Alekseevich Makhnev, Dmitriĭ Viktorovich Paduchikh

Publication date: 29 January 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562415050191

zbMATH Keywords

Taylor graphcompletely regular graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (4)

Unnamed Item ⋮ On automorphisms of a distance-regular graph with intersection array \(\{96,76,1;1,19,96\}\) ⋮ AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {25; 16; 1; 1; 8; 25} ⋮ On graphs in which neighborhoods of vertices are strongly regular with parameters \((85,14,3,2)\) or \((325,54,3,10)\)

Cites Work

• On strongly regular graphs with eigenvalue 3 and their extensions
• Amply regular graphs whose local subgraphs are pseudogeometric graphs for \(pG_{s - 3}(s, t)\)
• On graphs with strongly regular local subgraphs with parameters \((196,45,4,12)\)
• On graphs in which the neighborhood of each vertex is the complementary graph of a Seidel graph
• Distance-regular extensions of strongly regular graphs with eigenvalue 2
• Exceptional strongly regular graphs with eigenvalue 3
• Exceptional strongly regular graphs with eigenvalue 3

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