Simple fast algorithms for the editing distance between trees and related problems
SIAM Journal on Computing
Alignment of trees: an alternative to tree edit
Theoretical Computer Science
Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
The String-to-String Correction Problem
Journal of the ACM (JACM)
The Tree-to-Tree Correction Problem
Journal of the ACM (JACM)
Matching and Embedding through Edit-Union of Trees
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
A New Measure of Edit Distance between Labeled Trees
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
A New Measure of the Distance between Ordered Trees and its Applications
A New Measure of the Distance between Ordered Trees and its Applications
Thresher: automating the unwrapping of semantic content from the World Wide Web
WWW '05 Proceedings of the 14th international conference on World Wide Web
A survey on tree edit distance and related problems
Theoretical Computer Science
Decomposition Method for Tree Kernels
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Part II--Advances in Neural Networks
The q-gram distance for ordered unlabeled trees
DS'05 Proceedings of the 8th international conference on Discovery Science
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The problem of comparing two tree structures emerges across a wide range of applications in computational biology, pattern recognition, and many others. A number of tree edit methods have been proposed to find a structural similarity between trees. The alignment of trees is one of these methods, introduced as a natural extension of the alignment of strings, which gives a common supertree pattern of two trees, whereas tree edit gives a common subtree pattern. It is well known that alignment and edit are two equivalent notions for strings from the computational point of view. This equivalence, however, does not hold for trees. The lack of a theoretical formulation of these notions has lead to confusion. In this paper, we give a theoretical analysis of alignment and edit methods, and show an important relationship, which is the equivalence between the the alignment of trees and a variant of tree edit, called less-constrained edit.