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- W4320713462 abstract "Let H be an r-uniform hypergraph. The Turán number ex(n,H) is the maximum number of edges in an n-vertex H-free r-uniform hypergraph. The Turán density of H is defined byπ(H)=limn→∞ex(n,H)(nr). In this paper, we consider the Turán density of projective geometries. We give two new constructions of PGm(q)-free hypergraphs which improve some results given by Keevash (2005) [14]. Based on an upper bound of blocking sets of PGm(q), we give a new general lower bound for the Turán density of PGm(q). By a detailed analysis of the structures of complete arcs in PG2(q), we also get better lower bounds for the Turán density of PG2(q) with q=3,4,5." @default.
- W4320713462 created "2023-02-15" @default.
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- W4320713462 date "2023-06-01" @default.
- W4320713462 modified "2023-10-17" @default.
- W4320713462 title "New lower bounds for the Turán density of PG(q)" @default.
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- W4320713462 doi "https://doi.org/10.1016/j.disc.2023.113367" @default.
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