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High Dimensional Expanders and Property Testing (1312.2367v1)
Published 9 Dec 2013 in cs.CC and math.CO
Abstract: We show that the high dimensional expansion property as defined by Gromov, Linial and Meshulam, for simplicial complexes is a form of testability. Namely, a simplicial complex is a high dimensional expander iff a suitable property is testable. Using this connection, we derive several testability results.
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