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Finding topological subgraphs is fixed-parameter tractable

Clinical Orthopaedics and Related Research, (2011): 479-488

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We prove that for every fixed undirected graph H, there is an O(|V(G)|3) time algorithm that, given a graph G, tests if G contains H as a topological subgraph (that is, a subdivision of H is subgraph of G). This shows that topological subgraph testing is fixed-parameter tractable, resolving a longstanding open question of Downey and Fello...更多

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