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Sbornik: Mathematics, 2000, Volume 191, Issue 7, Pages 1033–1048
DOI: https://doi.org/10.1070/sm2000v191n07ABEH000493 (Mi sm493) 		 
This article is cited in 12 scientific papers (total in 13 papers)

On graphs the neighbourhoods of whose vertices are strongly regular with $k=2\mu$

A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
English version PDF (217 kB) Citations (13)
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DOI: https://doi.org/10.1070/sm2000v191n07ABEH000493
Abstract: It is proved that an amply regular graph of diameter greater than 2 the neighbourhoods of whose vertices are strongly regular with $k=2\mu$ is a Taylor graph. A description of the locally Paley graphs is obtained. Uniform extensions of the partial geometries $pG_2(4,t)$ are found.
Received: 22.03.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 7, Pages 89–104
DOI: https://doi.org/10.4213/sm493
Bibliographic databases:
UDC: 519.14
MSC: Primary 05C75; Secondary 05B25, 05E30, 51E12, 51E14
Language: English
Original paper language: Russian
Citation: A. A. Makhnev, “On graphs the neighbourhoods of whose vertices are strongly regular with $k=2\mu$”, Mat. Sb., 191:7 (2000), 89–104; Sb. Math., 191:7 (2000), 1033–1048
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:207
    English version PDF:17
    References:62
    First page:1
     
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