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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 220–230 (Mi timm1273)  
This article is cited in 2 scientific papers (total in 2 papers)

Small $AT4$-graphs and strongly regular subgraphs corresponding to them

A. A. Makhnevab, D. V. Paduchikhb

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: Let $\mathcal M$ be the class of strongly regular graphs for which $\mu$ is a nonprincipal eigenvalue. Note that the neighborhood of any vertex of an $AT4$-graph lies in $\mathcal M$. Parameters of graphs from $\mathcal M$ were described earlier. We find intersection arrays of small $AT4$-graphs and of strongly regular graphs corresponding to them.
Keywords: strongly regular graph, $AT4$-graph, locally $\mathcal M$-graphs.
Funding agency Grant number
Russian Science Foundation 14-11-00061
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 14.05.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 164–174
DOI: https://doi.org/10.1134/S0081543817020158
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: A. A. Makhnev, D. V. Paduchikh, “Small $AT4$-graphs and strongly regular subgraphs corresponding to them”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 220–230; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 164–174
Citation in format AMSBIB
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\pages 220--230
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\vol 296
\issue , suppl. 1
\pages 164--174
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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