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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2011, Volume 8, Pages 105–115 (Mi semr308)  
This article is cited in 6 scientific papers (total in 6 papers)

On Deza grahps with 14, 15 and 16 vertices

S. V. Goryainov, L. V. Shalaginov

Chelyabinsk State University
Full-text PDF (188 kB) Citations (6)
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Abstract: We consider the following generalization of strongly regular graphs. A graph $G$ is a Deza graph if it is regular and the number of common neighbors of two distinct vertices takes on one of two values (not necessarily depending on the adjacency of the two vertices). We list all Deza graphs with diameter two which are not strongly regular and have 14, 15 or 16 vertices.
Keywords: Deza graph, strictly Deza graph, strongly regular graph, group.
Received April 15, 2011, published May 26, 2011
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: Russian
Citation: S. V. Goryainov, L. V. Shalaginov, “On Deza grahps with 14, 15 and 16 vertices”, Sib. Èlektron. Mat. Izv., 8 (2011), 105–115
Citation in format AMSBIB
\Bibitem{GorSha11}
\by S.~V.~Goryainov, L.~V.~Shalaginov
\paper On Deza grahps with 14, 15 and 16 vertices
\jour Sib. \`Elektron. Mat. Izv.
\yr 2011
\vol 8
\pages 105--115
\mathnet{http://mi.mathnet.ru/semr308}
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  • https://www.mathnet.ru/eng/semr/v8/p105
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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