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Keywords:
${\mathcal F}$-hypercyclic binary relation; ${\mathcal F}$-topologically transitive binary relation; disjoint ${\mathcal F}$-hypercyclic binary relation; disjoint ${\mathcal F}$-topologically transitive binary relation; digraph
${\mathcal F}$-hypercyclic binary relation; ${\mathcal F}$-topologically transitive binary relation; disjoint ${\mathcal F}$-hypercyclic binary relation; disjoint ${\mathcal F}$-topologically transitive binary relation; digraph
Summary:
We examine various types of $\mathcal F$-hypercyclic ($\mathcal F$-topologically transitive) and disjoint $\mathcal F$-hypercyclic (disjoint $\mathcal F$-topologically transitive) properties of binary relations over topological spaces. We pay special attention to finite structures like simple graphs, digraphs and tournaments, providing a great number of illustrative examples.
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