Mathlib Map

Theorems · Definition · combinatorics

Graph.induce

{α : Type u_1} → {β : Type u_2} → Graph α β → Set α → Graph α β

The subgraph of G induced by a set X of vertices. The edges are the edges of G with both ends in X. (X is not required to be a subset of V(G) for this definition to work, even though this is the standard use case)

Defined in
Mathlib.Combinatorics.Graph.Delete
Cited by
8 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by9

Results whose statement or proof uses this declaration.