Theorems · Definition · combinatorics
SimpleGraph.DeleteFar
{V : Type u_1} →
(G : SimpleGraph V) →
{𝕜 : Type u_2} → [Ring 𝕜] → [PartialOrder 𝕜] → [Fintype ↑G.edgeSet] → (SimpleGraph V → Prop) → 𝕜 → PropA graph is r-delete-far from a property p if we must delete at least r edges from it to
get a graph with the property p.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingPartialOrderFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Set.Elemstatement and proof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- SimpleGraphstatement and proof · cited by 3,072
- Finset.cardproof · cited by 2,327
- Sym2statement and proof · cited by 737
- SimpleGraph.edgeSetstatement and proof · cited by 199
- SimpleGraph.edgeFinsetproof · cited by 116
- SimpleGraph.deleteEdgesproof · cited by 64
Cited by5
Results whose statement or proof uses this declaration.
- SimpleGraph.FarFromTriangleFreeproof · cited by 15
- SimpleGraph.deleteFar_iffstatement and proof · cited by 2
- SimpleGraph.DeleteFar.le_card_edgeFinsetstatement and proof · cited by 1
- SimpleGraph.DeleteFar.le_card_sub_cardstatement · cited by 1
- SimpleGraph.DeleteFar.monostatement and proof · cited by 1