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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1314–1338
DOI: https://doi.org/10.17377/semi.2016.13.103 (Mi semr753) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

Strongly regular graphs with the same parameters as the symplectic graph

S. Kubota

Graduate School of Information Sciences, Tohoku University, Sendai, Japan
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DOI: https://doi.org/10.17377/semi.2016.13.103
Abstract: We consider orbit partitions of groups of automorphisms for the symplectic graph and apply Godsil–McKay switching. As a result, we find four families of strongly regular graphs with the same parameters as the symplectic graphs, including the one discovered by Abiad and Haemers. Also, we prove that switched graphs are non-isomorphic to each other by considering the number of common neighbors of three vertices.
Keywords: cospectral graphs; switching; strongly regular graph; symplectic graphs.
Received September 30, 2016, published December 23, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.177
MSC: 05E30; 05B20; 05C50; 05E18
Language: English
Citation: S. Kubota, “Strongly regular graphs with the same parameters as the symplectic graph”, Sib. Èlektron. Mat. Izv., 13 (2016), 1314–1338
Citation in format AMSBIB
\Bibitem{Kub16}
\by S.~Kubota
\paper Strongly regular graphs with the same parameters as the symplectic graph
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1314--1338
\mathnet{http://mi.mathnet.ru/semr753}
\crossref{https://doi.org/10.17377/semi.2016.13.103}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100103}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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