Abstract

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 2ω subquasivarieties K″ ∈ Lq(K′) without covers (hence, without independent bases for their quasi-identities in K′).

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