On Terwilliger graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph

DOI10.1134/S000143461105004XzbMath1233.05220MaRDI QIDQ650478

Alexander L. Gavrilyuk, Aleksandr Alekseevich Makhnev

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

distance-regular graphadjacency matrixisomorphismTerwilliger graphHoffman-Singleton graphregular graph of degree \(k\)

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12)

Cites Work

• Graphs in which neighborhoods of vertices are isomorphic to the Hoffman-Singleton graph
• On distance-regular graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph
• A new feasibility condition for distance-regular graphs
• A local approach to 1-homogeneous graphs

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