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On directed analogues of expander and hyperfinite graph sequences

Published 19 Aug 2020 in math.CO, cs.CC, and math.PR | (2008.08680v3)

Abstract: We introduce and study analogues of expander and hyperfinite graph sequences in the context of directed acyclic graphs, which we call "extender" and "hypershallow" graph sequences, respectively. Our main result is a probabilistic construction of non-hypershallow graph sequences.

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