Erdős problem 742

Murty-Simon Conjecture

Sources

The source's own material, retained exactly.

5 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

742.lean

Retained formal statement5 of 5

Plesník [Pl75] proved the bound $|E(G)| < 3n(n-1)/8$ for any diameter- $2$ -critical graph on $n$ vertices.

FormalConjectures/ErdosProblems/742.leanErdos742.variants.plesnik_bound2 linesExact file

1∀ {V : Type u_1} [inst : Fintype V] [DecidableEq V] (G : SimpleGraph V) [inst_2 : DecidableRel G.Adj],2  Erdos742.IsDiameter2Critical G → ↑G.edgeFinset.card < 3 * ↑(Fintype.card V) * (↑(Fintype.card V) - 1) / 8

SolvedStatement only, no proof

Source providers

Erdős Problems1
locator only
Formal Conjectures5
statement retained
VibeMathed0
not observed here
PLBY Lean proofs0
not observed here
Jayyhk Erdős Lean0
not observed here
William Blair Lean proofs0
not observed here
Erdős AI contributions wiki0
not observed here
GPT-Erdős0
not observed here

Referenced paths

FormalConjectures/
- ErdosProblems/
  - 742.lean5