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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 1, Pages 169–184 (Mi timm1040)  
On extensions of exceptional strongly regular graphs with eigenvalue 3

A. A. Makhnevab, D. V. Paduchikha

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin
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Abstract: The study of distance regular graphs in which neighborhoods of vertices are strongly regular graphs with eigenvalue 3 was initiated in Makhnev's previous works. In particular, he reduced these graphs to graphs in which neighborhoods of vertices are exceptional graphs or pseudogeometric graphs for $pG_{s-3}(s,t)$. Makhnev and Paduchikh found parameters of exceptional graphs (see the Proposition). In the present paper, we study amply regular graphs in which neighborhoods of vertices are exceptional strongly regular graphs with eigenvalue 3 and parameters from conditions 3–6 of the Proposition.
Keywords: graph extensions, strongly regular graphs, amply regular graphs, distance regular graphs.
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 288, Issue 1, Pages 112–128
DOI: https://doi.org/10.1134/S0081543815020121
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, D. V. Paduchikh, “On extensions of exceptional strongly regular graphs with eigenvalue 3”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 1, 2014, 169–184; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 112–128
Citation in format AMSBIB
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\paper On extensions of exceptional strongly regular graphs with eigenvalue~3
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\jour Proc. Steklov Inst. Math. (Suppl.)
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