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- W2079704017 abstract "Abstract Chvatal, Rodl, Szemeredi and Trotter [V. Chvatal, V. Rodl, E. Szemeredi and W.T. Trotter, The Ramsey number of a graph with a bounded maximum degree, J. Combinatorial Theory B 34 (1983), 239–243] proved that the Ramsey numbers of graphs of bounded maximum degree are linear in their order. In [O. Cooley, N. Fountoulakis, D. Kuhn and D. Osthus, 3-uniform hypergraphs of bounded degree have linear Ramsey numbers, submitted] and [B. Nagle, S. Olsen, V. Rodl and M. Schacht, On the Ramsey number of sparse 3-graphs, preprint] the same result was proved for 3-uniform hypergraphs. In [O. Cooley, N. Fountoulakis, D. Kuhn and D. Osthus, Embeddings and Ramsey numbers of sparse k-uniform hypergraphs, submitted] we extended this result to k-uniform hypergraphs for any integer k ≥ 3 . As in the 3-uniform case, the main new tool which we proved and used is an embedding lemma for k-uniform hypergraphs of bounded maximum degree into suitable k-uniform ‘quasi-random’ hypergraphs." @default.
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- W2079704017 date "2007-08-01" @default.
- W2079704017 modified "2023-09-25" @default.
- W2079704017 title "Ramsey numbers of sparse hypergraphs" @default.
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- W2079704017 doi "https://doi.org/10.1016/j.endm.2007.07.006" @default.
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