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arXiv · 1905.01185

Most vital segment barriers

Irina Kostitsyna·Maarten Löffler·Valentin Polishchuk·Frank Staals
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Abstract

We study continuous analogues of "vitality" for discrete network flows/paths, and consider problems related to placing segment barriers that have highest impact on a flow/path in a polygonal domain. This extends the graph-theoretic notion of "most vital arcs" for flows/paths to geometric environments. We give hardness results and efficient algorithms for various versions of the problem, (almost) completely separating hard and polynomially-solvable cases.

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Irina Kostitsyna, Maarten Löffler, Valentin Polishchuk, Frank Staals. 2019-05-03. Most vital segment barriers. https://arxiv.org/abs/1905.01185

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