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Computers and Technology, 11.05.2021 18:30 dmgcity

In a network of straight-line tunnels, emergency lights will be installed at select intersections, points where several tunnels meet. The goal is that from every intersection, at least one light should be visible. You can see the light at the intersection where you are standing, and any light at the other end of a tunnel. You are given the network with n intersections, and asked whether installing k lights is enough. Required:
Prove this problem is NP-complete.

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