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Matematicheskie Trudy, 2017, Volume 20, Number 2, Pages 80–89
DOI: https://doi.org/10.17377/mattrudy.2017.20.204 (Mi mt324) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Quasivarieties of graphs and independent axiomatizability

A. V. Kravchenkoabc, A. V. Yakovlevb

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Siberian Institute of Management (Department of RANEPA), Novosibirsk, Russia
Full-text PDF (210 kB) Citations (6)
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DOI: https://doi.org/10.17377/mattrudy.2017.20.204
Abstract: In the present article, we continue to study the complexity of the lattice of quasivarieties of graphs. For every quasivariety $\mathbf{K}$ of graphs that contains a non-bipartite graph, we find a subquasivariety $\mathbf{K}^\prime\subseteq\mathbf{K}$ such that there exist $2^\omega$ subquasivarieties $\mathbf{K}^{\prime\prime}\in\mathrm{L_q}(\mathbf{K}^\prime)$ without covers (hence, without independent bases for their quasi-identities in $\mathbf{K}^\prime$).
Key words: quasivariety, graph, basis for quasi-identities.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Received: 13.02.2017
English version:
Siberian Advances in Mathematics, 2018, Volume 28, Issue 1, Pages 53–59
DOI: https://doi.org/10.3103/S1055134418010042
Bibliographic databases:
Document Type: Article
UDC: 512.57
Language: Russian
Citation: A. V. Kravchenko, A. V. Yakovlev, “Quasivarieties of graphs and independent axiomatizability”, Mat. Tr., 20:2 (2017), 80–89; Siberian Adv. Math., 28:1 (2018), 53–59
Citation in format AMSBIB
\Bibitem{KraYak17}
\by A.~V.~Kravchenko, A.~V.~Yakovlev
\paper Quasivarieties of graphs and independent axiomatizability
\jour Mat. Tr.
\yr 2017
\vol 20
\issue 2
\pages 80--89
\mathnet{http://mi.mathnet.ru/mt324}
\crossref{https://doi.org/10.17377/mattrudy.2017.20.204}
\elib{https://elibrary.ru/item.asp?id=30558045}
\transl
\jour Siberian Adv. Math.
\yr 2018
\vol 28
\issue 1
\pages 53--59
\crossref{https://doi.org/10.3103/S1055134418010042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85043535226}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Full-text PDF :60
    References:36
    First page:5
     
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