SimpleGraph.Connected.exists_connected_induce_compl_singleton_of_finite_nontrivial

∀ {V : Type u_1} {G : SimpleGraph V} [Finite V] [Nontrivial V], G.Connected → ∃ v, (SimpleGraph.induce {v}ᶜ G).Connected

A finite nontrivial connected graph contains a vertex that leaves the graph connected if removed.

Defined in: Mathlib.Combinatorics.SimpleGraph.Acyclic
Cited by: 1 results in Mathlib
Foundations: Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Finite Nontrivial

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