Finpartition.energy

{α : Type u_1} →
  [inst : DecidableEq α] → {s : Finset α} → Finpartition s → (G : SimpleGraph α) → [DecidableRel G.Adj] → ℚ

The energy of a partition, also known as index. Auxiliary quantity for Szemerédi's regularity lemma.

Defined in: Mathlib.Combinatorics.SimpleGraph.Regularity.Energy
Cited by: 6 results in Mathlib
Foundations: Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidableEq DecidableRel

Around this declaration

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

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

Results whose statement or proof uses this declaration.