The tree inclusion problem

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Abstract

We consider the following problem: Given ordered albeled trees S and T, can S be obtained from T by deleting nodes? Deletion of the root node u of a subtree with children 〈T1, …, Tn〉 means replacing the subtree by the trees T1, …, Tn. The problem is motivated by the study of query languages for structured text data bases. The simple solutions to this problem require exponential time. We give an algorithm based on dynamic programming requiring O(|S||T|) time and space.

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Kilpeläinen, P., & Mannila, H. (1991). The tree inclusion problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 493 LNCS, pp. 202–214). Springer Verlag. https://doi.org/10.1007/3-540-53982-4_12

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