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Weak hypergraph regularity and linear hypergraphs
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We consider conditions which allow the embedding of linear hypergraphs of fixed size. In particular, we prove that any k-uniform hypergraph H of positive uniform density contains all linear k-uniform hypergraphs of a given ...
Weak quasi-randomness for uniform hypergraphs
(WILEY-BLACKWELLMALDEN, 2012)
We study quasi-random properties of k-uniform hypergraphs. Our central notion is uniform edge distribution with respect to large vertex sets. We will find several equivalent characterisations of this property and our work ...