Inversions of size exactly p characterize when large digraphs become k-arc-strong, while at most p-sized inversions admit a (4k-2+ε)-approximation for the minimum number needed and are NP-hard and APX-hard to optimize.
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Increasing arc-connectivity by bounded- and fixed-size inversions
Inversions of size exactly p characterize when large digraphs become k-arc-strong, while at most p-sized inversions admit a (4k-2+ε)-approximation for the minimum number needed and are NP-hard and APX-hard to optimize.