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Erdős problem 742

Murty-Simon Conjecture

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The source's own material, retained exactly.

5 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

742.lean

Retained formal statement3 of 5

Fan [Fa87] verified the Murty-Simon conjecture for all n≤24n \leq 24 and for n=26n = 26.

FormalConjectures/ErdosProblems/742.leanErdos742.variants.fan_bound3 linesExact file
∀ {V : Type u_1} [inst : Fintype V] [DecidableEq V] (G : SimpleGraph V) [inst_2 : DecidableRel G.Adj],  Fintype.card V ≤ 24 ∨ Fintype.card V = 26 →    Erdos742.IsDiameter2Critical G → G.edgeFinset.card ≤ Fintype.card V ^ 2 / 4
SolvedStatement only, no proof