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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 1, Pages 35–45 (Mi timm1140)  
This article is cited in 1 scientific paper (total in 1 paper)

Strongly uniform extensions of dual 2-designs

I. N. Belousovab, A. A. Makhnevab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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Abstract: A strongly $\alpha$-uniform partial space of lines of order $(s,t)$ is called an $\alpha$-partial geometry. If $\alpha=t+1$, then the geometry is called a dual 2-design. Locally triangular and locally Grassman graphs correspond to triangular extensions of certain dual 2-designs, and the class of strongly uniform quasi-biplanes coincides with the class of strongly uniform extensions of dual 2-designs. We study strongly uniform extensions of dual 2-designs.
Keywords: partial geometry; uniform extensions; 2-designs.
Received: 14.11.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 293, Issue 1, Pages 32–42
DOI: https://doi.org/10.1134/S0081543816050047
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: I. N. Belousov, A. A. Makhnev, “Strongly uniform extensions of dual 2-designs”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 1, 2015, 35–45; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 32–42
Citation in format AMSBIB
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\pages 35--45
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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