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Edge Deletion to Restrict the Size of an Epidemic
[article]

2021
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arXiv
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pre-print

Given a graph G=(V,E), a set ℱ of forbidden subgraphs, we study ℱ-Free Edge Deletion, where the goal is to remove minimum number of edges such that the resulting graph does not contain any F∈ℱ as a subgraph. For the parameter treewidth, the question of whether the problem is FPT has remained open. Here we give a negative answer by showing that the problem is W[1]-hard when parameterized by the treewidth, which rules out FPT algorithms under common assumption. Thus we give a solution to the

arXiv:2102.06068v1
fatcat:eflv7gnsinagvkf3wmfrnqiu7i