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graph_biconnected (568B)


      1 # Biconnected graph
      2 
      3 A *biconnected graph* is an [undirected_graph] which is [connected] and has no [cut_vertex]
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      5 Equivalently, by [Menger's_theorem], in a biconnected graph featuring at least 3 vertices, between any two distinct vertices you must have two vertex-disjoint paths
      6 
      7 Up: [graph_basic_notions]
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      9 Aliases: biconnected graph, biconnected graphs, 2-vertex connected graph, 2-vertex connected graphs, 2-vertex connected, 2 vertex connected, 2 vertex connected graph, 2 vertex connected graphs
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     11 See also: [biconnected_component], [block_cut_tree], [block_graph]