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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 167–174 (Mi timm1010)  
This article is cited in 11 scientific papers (total in 11 papers)

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, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (154 kB) Citations (11)
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Abstract: A strongly regular graph $\Gamma$ with eigenvalue $m-1$ is called exceptional if it does not belong to the following list: (1) the union of isolated $m$-cliques, (2) a pseudogeometric graph for $pG_t(t+m-1,t)$, (3) the completion to a pseudogeometric graph for $pG_{m}(s,m-1)$, (4) a graph in the half case with parameters $(4\mu+1,2\mu,\mu-1,\mu)$, $\sqrt{4\mu+1}=m-1$. We find parameters of exceptional strongly regular graphs with nonleading eigenvalue 3.
Keywords: strongly regular graph, eigenvalue of a graph.
Received: 17.06.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 93–101
DOI: https://doi.org/10.1134/S0081543814090090
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, D. V. Paduchikh, “Exceptional strongly regular graphs with eigenvalue 3”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 167–174; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 93–101
Citation in format AMSBIB
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\paper Exceptional strongly regular graphs with eigenvalue~3
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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