We investigate the computational complexity of Disjoint Π-Vertex Deletion. Here, given an input graph G = (V,E) and a vertex set S ⊆ V, called a solution set, whose removal results in a graph satisfying a non-trivial, hereditary property Π, we are asked to find a solution set S′ with |S′| < |S| and S′ â̂© S = â̂.... This problem is partially motivated by the "compression task" occurring in the iterative compression technique. The complexity of this problem has already been studied, with the restriction that Π is satisfied by a graph G iff Π is satisfied by each connected component of G [7]. In this work, we remove this restriction and show that, except for few cases which are polynomial-time solvable, almost all other cases of Disjoint Π-Vertex Deletion are-hard. © 2014 Springer International Publishing Switzerland.
CITATION STYLE
Guo, J., & Shrestha, Y. R. (2014). Complexity of disjoint Π-vertex deletion for disconnected forbidden subgraphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8344 LNCS, pp. 286–297). Springer Verlag. https://doi.org/10.1007/978-3-319-04657-0_27
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