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Diskretnaya Matematika, 2009, Volume 21, Issue 1, Pages 78–104
DOI: https://doi.org/10.4213/dm1040
(Mi dm1040)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the automorphisms of the strongly regular graph with parameters $(85, 14, 3, 2)$

D. V. Paduchikh
Full-text PDF (288 kB) Citations (2)
References:
Abstract: Let $\Gamma$ be the strongly regular graph with parameters $(85, 14, 3, 2)$, $g$ be an element of prime order $p$ of $\operatorname{Aut}(\Gamma)$ and $\Delta=\operatorname{Fix}(g)$. In this paper, it is proved that either $p=5$ or $p=17$ and $\Delta$ is the empty graph, or $p=7$ and $\Delta$ is a 1-clique, or $p=5$ and $\Delta$ is a 5-clique, or $p=3$ and $\Delta$ is a quadrangle or a $2\times5$ lattice, or $p=2$ and $\Delta$ is a union of $\varphi$ isolated vertices and $\psi$ isolated triangles, $\psi=1$ and $\varphi\in\{4,6\}$ or $\psi=0$ and $\varphi=5$. In addition, it is shown that the graph $\Gamma$ is not vertex transitive.
Received: 29.01.2007
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 1, Pages 89–111
DOI: https://doi.org/10.1515/DMA.2009.007
Bibliographic databases:
UDC: 519.14
Language: Russian
Citation: D. V. Paduchikh, “On the automorphisms of the strongly regular graph with parameters $(85, 14, 3, 2)$”, Diskr. Mat., 21:1 (2009), 78–104; Discrete Math. Appl., 19:1 (2009), 89–111
Citation in format AMSBIB
\Bibitem{Pad09}
\by D.~V.~Paduchikh
\paper On the automorphisms of the strongly regular graph with parameters $(85, 14, 3, 2)$
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 1
\pages 78--104
\mathnet{http://mi.mathnet.ru/dm1040}
\crossref{https://doi.org/10.4213/dm1040}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2531031}
\elib{https://elibrary.ru/item.asp?id=20730280}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 1
\pages 89--111
\crossref{https://doi.org/10.1515/DMA.2009.007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-63849091496}
Linking options:
  • https://www.mathnet.ru/eng/dm1040
  • https://doi.org/10.4213/dm1040
  • https://www.mathnet.ru/eng/dm/v21/i1/p78
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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    Abstract page:554
    Full-text PDF :216
    References:62
    First page:14
     
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