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Theorems · Definition · combinatorics

SimpleGraph.TripartiteFromTriangles.graph

{α : Type u_1} → {β : Type u_2} → {γ : Type u_3} → Finset (α × β × γ) → SimpleGraph (α ⊕ β ⊕ γ)

The tripartite-from-triangles graph. Two vertices are related iff there exists a triangle index containing them both.

Defined in
Mathlib.Combinatorics.SimpleGraph.Triangle.Tripartite
Cited by
27 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

SimpleGraph.TripartiteFromTriangles.toTriangle_is3Clique · cited by 3TripartiteFromTriangles.t…SimpleGraph.TripartiteFromTriangles.card_triangles · cited by 2TripartiteFromTriangles.c…SimpleGraph.TripartiteFromTriangles.cliqueSet_eq_image · cited by 2TripartiteFromTriangles.c…SimpleGraph.TripartiteFromTriangles.is3Clique_iff · cited by 2TripartiteFromTriangles.i…corners_theorem · cited by 2corners_theoremSimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_image · cited by 1TripartiteFromTriangles.c…SimpleGraph.TripartiteFromTriangles.cliqueFinset_eq_map · cited by 1TripartiteFromTriangles.c…SimpleGraph.TripartiteFromTriangles.exists_mem_toTriangle · cited by 1TripartiteFromTriangles.e…SimpleGraph.TripartiteFromTriangles.graph_triple · cited by 1TripartiteFromTriangles.g…SimpleGraph.TripartiteFromTriangles.Graph.in₀₁_iff · cited by 1Graph.in₀₁_iffSimpleGraph.TripartiteFromTriangles.Graph.in₀₂_iff · cited by 1Graph.in₀₂_iffSimpleGraph.TripartiteFromTriangles.Graph.in₁₂_iff · cited by 1Graph.in₁₂_iffSimpleGraph.TripartiteFromTriangles.farFromTriangleFree · cited by 0TripartiteFromTriangles.f…SimpleGraph.TripartiteFromTriangles.locallyLinear · cited by 0TripartiteFromTriangles.l…SimpleGraph.TripartiteFromTriangles.toTriangle_surjOn · cited by 0TripartiteFromTriangles.t…Finset · cited by 13712FinsetSimpleGraph · cited by 3072SimpleGraphSimpleGraph.TripartiteFromTriangles.Rel · cited by 1TripartiteFromTriangles.R…TripartiteFromTriangles.graphCITED BYCITES

Cites3

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Cited by27

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