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• W3136752844 abstract "For a graph invariant π, the Contraction(π) problem consists of, given a graph G and positive integers k,d, deciding whether one can contract k edges of G to obtain a graph in which π has dropped by at least d. Galby et al. [ISAAC 2019, MFCS 2019] studied the case where π is the size of a minimum dominating set. We focus on graph invariants defined as the minimum size of a vertex set that hits all the occurrences of graphs in a collection H according to a fixed containment relation. We prove co-NP-hardness results under some assumptions on the graphs in H, in particular implying that Contraction(π) is co-NP-hard for fixed k=d=1 when π is the size of a minimum feedback vertex set or an odd cycle transversal. In sharp contrast, when π is the size of a minimum vertex cover, the problem is in XP parameterized by d." @default.
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• W3136752844 date "2021-09-01" @default.
• W3136752844 modified "2023-09-25" @default.
• W3136752844 title "Reducing graph transversals via edge contractions" @default.
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• W3136752844 doi "https://doi.org/10.1016/j.jcss.2021.03.003" @default.
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