#### Lower bounds for testing digraph connectivity with one-pass streaming algorithms

##### Glencora Borradaile, Claire Mathieu, Theresa Migler

In this note, we show that three graph properties - strong connectivity, acyclicity, and reachability from a vertex $s$ to all vertices - each require a working memory of $\Omega (\epsilon m)$ on a graph with $m$ edges to be determined correctly with probability greater than $(1+\epsilon)/2$.

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