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'''Articulation set''' | '''Articulation set''' — ''[[множество сочленения]].'' | ||
Given a hypergraph <math>{\mathcal E} = (V, \{E_{1}, \ldots, E_{m}\})</math>, a set <math>A \subseteq V</math> | Given a [[hypergraph]] <math>{\mathcal E} = (V, \{E_{1}, \ldots, E_{m}\})</math>, a set <math>A \subseteq V</math> | ||
is an '''articulation set''' for <math>{\mathcal E}</math> if <math>A = E_{1} \cap E_{2}</math> for some | is an '''articulation set''' for <math>{\mathcal E}</math> if <math>A = E_{1} \cap E_{2}</math> for some | ||
pair of hyperedges <math>E_{1}, E_{2} \in {\mathcal E}</math> and <math>{\mathcal E}[V \setminus | pair of hyperedges <math>E_{1}, E_{2} \in {\mathcal E}</math> and <math>{\mathcal E}[V \setminus | ||
A]</math> has more connected components than <math>{\mathcal E}</math>. | A]</math> has more connected components than <math>{\mathcal E}</math>. |