# Computing and Testing Small Connectivity in Near-Linear Time and Queries via Fast Local Cut Algorithms

symposium on discrete algorithms, pp. 2046-2065, 2020.

Abstract:

Consider the following "local" cut-detection problem in a directed graph: We are given a seed vertex $x$ and need to remove at most $k$ edges so that at most $\nu$ edges can be reached from $x$ (a "local" cut) or output $\bot$ to indicate that no such cut exists. If we are given query access to the input graph, then this problem can in ...More

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