Long 4-uniform tight cycles C_L^(4) with L not divisible by 4 have Turán density 1/2.
Throughout, we 47 implicitly use that the value of f at its maximum ( α, β, γ, δ) on R must satisfy f(α, β, γ, δ) ≥ f 1 4 , 1 4 , 1 4 , 0 = 0.5
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The Tur\'an Density of 4-Uniform Tight Cycles
Long 4-uniform tight cycles C_L^(4) with L not divisible by 4 have Turán density 1/2.