Theorems · Theorem · combinatorics
SimpleGraph.LocallyLinear.le_ruzsaSzemerediNumber
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {G : SimpleGraph α} [inst_2 : DecidableRel G.Adj],
G.LocallyLinear → (G.cliqueFinset 3).card ≤ ruzsaSzemerediNumber α- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- SimpleGraphstatement and proof · cited by 3,072
- Finset.cardstatement and proof · cited by 2,327
- SimpleGraph.Adjstatement and proof · cited by 1,346
- SimpleGraph.cliqueFinsetstatement and proof · cited by 26
- SimpleGraph.LocallyLinearstatement and proof · cited by 9
- ruzsaSzemerediNumberstatement · cited by 8
- Nat.le_findGreatestproof · cited by 6
- SimpleGraph.card_cliqueFinset_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- addRothNumber_le_ruzsaSzemerediNumberproof · cited by 1