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- W399388665 abstract "For a graph property Π, i.e., a family Π of graphs, the Connected Induced Π-Subgraph problem asks whether an input graph G contains k vertices V′ such that the induced subgraph G[V′] is connected and satisfies property Π. In this paper, we study the parameterized complexity of Connected Induced Π-Subgraph for decidable hereditary properties Π, and give a nearly complete characterization in terms of whether Π includes all complete graphs, all stars, and all paths. As a consequence, we obtain a complete characterization of the parameterized complexity of our problem when Π is the family of H-free graphs for a fixed graph H with h≥3 vertices: W[1]-hard if H is Kh, Kh‾, or K1,h−1; and FPT otherwise. Furthermore, we also settle the parameterized complexity of the problem for many well-known families Π of graphs: FPT for perfect graphs, chordal graphs, and interval graphs, but W[1]-hard for forests, bipartite graphs, planar graphs, line graphs, and degree-bounded graphs." @default.
- W399388665 created "2016-06-24" @default.
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- W399388665 date "2015-11-01" @default.
- W399388665 modified "2023-10-16" @default.
- W399388665 title "Parameterized complexity of finding connected induced subgraphs" @default.
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- W399388665 doi "https://doi.org/10.1016/j.tcs.2015.05.020" @default.
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