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Simple fast algorithms for the editing distance between trees and related problems
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Information Processing Letters
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Computer Vision and Image Understanding
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Continuous characterizations of the maximum clique problem
Mathematics of Operations Research
The Tree-to-Tree Correction Problem
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Proceedings of the Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
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International Journal of Computer Vision
Dissimilarity between two skeletal trees in a context
Pattern Recognition
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GbRPR'03 Proceedings of the 4th IAPR international conference on Graph based representations in pattern recognition
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SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
A theoretical analysis of alignment and edit problems for trees
ICTCS'05 Proceedings of the 9th Italian conference on Theoretical Computer Science
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This paper investigates a technique to extend the tree edit distance framework to allow the simultaneous matching of multiple tree structures. This approach extends a previous result that showed the edit distance between two trees is completely determined by the maximum tree obtained from both tree with node removal operations only. In our approach we seek the minimum structure from which we can obtain the original trees with removal operations. This structure has the added advantage that it can be extended to more than two trees and it imposes consistency on node matches throughout the matched trees. Furthermore through this structure we can get a "natural" embedding space of tree structures that can be used to analyze how tree representations vary in our problem domain.