Regularity inheritance in hypergraphs

Published 17 Jan 2019 in math.CO | (1901.05955v1)

Abstract: We give a new approach to handling hypergraph regularity. This approach allows for vertex-by-vertex embedding into regular partitions of hypergraphs, and generalises to regular partitions of sparse hypergraphs. We also prove a corresponding sparse hypergraph regularity lemma.

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