The ℓ2-norm Turán density of the tight cycle minus one edge C_ℓ^{3-} is exactly 1/26 for every ℓ ≥ 5 with ℓ not divisible by 3, with a stability theorem.
T ur \' a n density of long tight cycle minus one hyperedge
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Tur\'{a}n density of tight cycles minus one edge in the $\ell_2$-norm
The ℓ2-norm Turán density of the tight cycle minus one edge C_ℓ^{3-} is exactly 1/26 for every ℓ ≥ 5 with ℓ not divisible by 3, with a stability theorem.