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On the parameterized complexity of the Multi-MCT and Multi-MCST problems

Author

Listed:
  • Wenbin Chen

    (North Carolina State University
    Oak Ridge National Laboratory)

  • Matthew C. Schmidt

    (North Carolina State University
    Oak Ridge National Laboratory)

  • Nagiza F. Samatova

    (North Carolina State University
    Oak Ridge National Laboratory)

Abstract

The comparison of tree structured data is widespread since trees can be used to represent wide varieties of data, such as XML data, evolutionary histories, or carbohydrate structures. Two graph-theoretical problems used in the comparison of such data are the problems of finding the maximum common subtree (MCT) and the minimum common supertree (MCST) of two trees. These problems generalize to the problem of finding the MCT and MCST of multiple trees (Multi-MCT and Multi-MCST, respectively). In this paper, we prove parameterized complexity hardness results for the different parameterized versions of the Multi-MCT and Multi-MCST problem under isomorphic embeddings.

Suggested Citation

  • Wenbin Chen & Matthew C. Schmidt & Nagiza F. Samatova, 2011. "On the parameterized complexity of the Multi-MCT and Multi-MCST problems," Journal of Combinatorial Optimization, Springer, vol. 21(2), pages 151-158, February.
    • Handle: RePEc:spr:jcomop:v:21:y:2011:i:2:d:10.1007_s10878-009-9220-2
    DOI: 10.1007/s10878-009-9220-2
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