Theorems · Theorem · combinatorics
SimpleGraph.edgeDensity_def
∀ {α : Type u_4} (G : SimpleGraph α) [inst : DecidableRel G.Adj] (s t : Finset α),
G.edgeDensity s t = ↑(G.interedges s t).card / (↑s.card * ↑t.card)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SimpleGraphstatement and proof · cited by 3,072
- Finset.cardstatement · cited by 2,327
- SimpleGraph.Adjstatement and proof · cited by 1,346
- SimpleGraph.edgeDensitystatement · cited by 31
- SimpleGraph.interedgesstatement · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.edgeDensity_add_edgeDensity_complproof · cited by 0