Quasivarieties of Graphs and Independent Axiomatizability

In the present article, we continue to study the complexity of the lattice of quasivarieties of graphs. For every quasivariety K of graphs that contains a non-bipartite graph, we find a subquasivariety K ′ ⊆ K such that there exist 2 ω subquasivarieties K ″ ∈ L q ( K ′) without covers (hence, withou...

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Veröffentlicht in:Siberian advances in mathematics 2018, Vol.28 (1), p.53-59
Hauptverfasser: Kravchenko, A. V., Yakovlev, A. V.
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description In the present article, we continue to study the complexity of the lattice of quasivarieties of graphs. For every quasivariety K of graphs that contains a non-bipartite graph, we find a subquasivariety K ′ ⊆ K such that there exist 2 ω subquasivarieties K ″ ∈ L q ( K ′) without covers (hence, without independent bases for their quasi-identities in K ′).
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title Quasivarieties of Graphs and Independent Axiomatizability
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