Written on the Wall IICombinatorics
Written on the Wall II - Conjecture 2
WOWII Conjecture 2
Mathematical statement
WOWII Conjecture 2
For a simple connected graph G,
Ls(G) ≥ 2 · (l(G) - 1) where l(G) is the average independence number of
the neighbourhoods of the vertices of G.
Statement source: Written on the Wall II statement material
Statement terms: Source-specific
Source-specific terms. Therefore does not assert reuse rights beyond attributed display.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
conjecture2
theorem conjecture2 (G : SimpleGraph α) (h : G.Connected) : 2 * (averageIndepNeighbors G - 1) ≤ Ls G := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References