Induced Subtrees in Interval Graphs

@inproceedings{Heggernes2013InducedSI,
  title={Induced Subtrees in Interval Graphs},
  author={Pinar Heggernes and Pim van 't Hof and Martin Milani{\vc}},
  booktitle={IWOCA},
  year={2013}
}
The Induced Subtree Isomorphism problem takes as input a graph G and a tree T, and the task is to decide whether G has an induced subgraph that is isomorphic to T. This problem is known to be NP-complete on bipartite graphs, but it can be solved in polynomial time when G is a forest. We show that Induced Subtree Isomorphism can be solved in polynomial time when G is an interval graph. In contrast to this positive result, we show that the closely related Subtree Isomorphism problem is NP… 
2 Citations

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