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Decomposition algorithms for the tree edit distance problem. (English) Zbl 1129.68099
Summary: We study the behavior of dynamic programming methods for the tree edit distance problem, such as [P. Klein, Algorithms - ESA ’98. 6th annual European symposium, Venice, Italy, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1461, 91–102 (1998; Zbl 0932.68066); K. Zhang, D. Shasha, SIAM J. Comput. 18, No. 6, 1245–1262 (1989; Zbl 0692.68047)]. We show that those two algorithms may be described as decomposition strategies. We introduce the general framework of cover strategies, and we provide an exact characterization of the complexity of cover strategies. This analysis allows us to define a new tree edit distance algorithm, that is optimal for cover strategies.

68W40 Analysis of algorithms
92D20 Protein sequences, DNA sequences
05C05 Trees
05C12 Distance in graphs
Full Text: DOI
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