Abstract
We study two restricted versions of the Subforest Isomorphism problem, the Star-Cover of a Tree (SCT) and the Path-Cover of a Tree (PCT) problems. Both problems are NP-complete. The problems are closely related to a number of well-studied problems, including the problems Subgraph Isomorphism, Tree Editing, and Graph Packing. We show that the problems SCT and PCT are fixed-parameter tractable. Thorough development of parameterized algorithms and kernelization algorithms for these problems are presented.
This work is supported by the National Natural Science Foundation of China under Grants (61103033, 61173051, 61232001).
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You, J., Feng, Q., Guo, J., Shi, F. (2014). On Star-Cover and Path-Cover of a Tree. In: Chen, J., Hopcroft, J.E., Wang, J. (eds) Frontiers in Algorithmics. FAW 2014. Lecture Notes in Computer Science, vol 8497. Springer, Cham. https://doi.org/10.1007/978-3-319-08016-1_27
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DOI: https://doi.org/10.1007/978-3-319-08016-1_27
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