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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
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
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
Linking options:
https://www.mathnet.ru/eng/dm1040https://doi.org/10.4213/dm1040 https://www.mathnet.ru/eng/dm/v21/i1/p78
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Abstract page: | 554 | Full-text PDF : | 216 | References: | 62 | First page: | 14 |
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