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- W2953177174 abstract "The Tur'an number of an r-uniform hypergraph H is the maximum number of edges in any r-graph on n vertices which does not contain H as a subgraph. Let P_l^(r) denote the family of r-uniform loose paths on l edges, F(k,l) denote the family of hypergraphs consisting of k disjoint paths from P_l^(r), and P'_l^(r) denote an r-uniform linear path on l edges. We determine precisely ex_r(n;F(k,l)) and ex_r(n;k*P'_l^(r)), as well as the Tur'an numbers for forests of paths of differing lengths (whether these paths are loose or linear) when n is appropriately large dependent on k,l,r, for r>=3. Our results build on recent results of Furedi, Jiang, and Seiver who determined the extremal numbers for individual paths, and provide more hypergraphs whose Turan numbers are exactly determined." @default.
- W2953177174 created "2019-06-27" @default.
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- W2953177174 date "2013-03-20" @default.
- W2953177174 modified "2023-09-27" @default.
- W2953177174 title "Tur'an Numbers for Forests of Paths in Hypergraphs" @default.
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