Graphs in which neighborhoods of vertices are isomorphic to the Mathieu graph

DOI10.1134/S0081543813090095zbMath1304.05158OpenAlexW1999451711MaRDI QIDQ483204

Aleksandr Alekseevich Makhnev, Dmitriĭ Viktorovich Paduchikh

Publication date: 16 December 2014

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

Full work available at URL: https://doi.org/10.1134/s0081543813090095

zbMATH Keywords

strongly regular graphlocally \(X\)-graphMathieu graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Uses Software

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Cites Work

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• On strongly regular graphs with eigenvalue 2 and their extensions
• On graphs in which the neighborhood of each vertex is isomorphic to the Higman-Sims graph
• On distance-regular graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph
• The Gewirtz graph: An exercise in the theory of graph spectra

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