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Exact Computation of the Hypergraph Turan Function for Expanded Complete 2-Graphs

Oleg Pikhurko
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Abstract

Let l>k>2. Let the k-graph H^k_l be obtained from the complete 2-graph K_l^2 by enlarging each edge with a new set of k-2 vertices. Mubayi ["A hypergraph extension of Turan's theorem", to appear in J. Combin. Th. (B)] computed asymptotically the Turan function ex(n,H_l^k). Here we determine the exact value of ex(n,H_l^k) for all sufficiently large n, settling a conjecture of Mubayi.

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Oleg Pikhurko. 2005-10-11. Exact Computation of the Hypergraph Turan Function for Expanded Complete 2-Graphs. https://arxiv.org/abs/math/0510227

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