SimpleGraph.Connected.connected_delete_edge_of_not_isBridge

∀ {V : Type u} {G : SimpleGraph V}, G.Connected → ∀ {x y : V}, ¬G.IsBridge s(x, y) → (G.deleteEdges {s(x, y)}).Connected

Deleting a non-bridge edge from a connected graph preserves connectedness.

Defined in: Mathlib.Combinatorics.SimpleGraph.Connectivity.Connected
Cited by: 2 results in Mathlib
Foundations: Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

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