A data structure for dynamic trees
Journal of Computer and System Sciences
Fast parallel and serial approximate string matching
Journal of Algorithms
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
The Tree-to-Tree Correction Problem
Journal of the ACM (JACM)
The longest common subsequence problem for sequences with nested arc annotations
Journal of Computer and System Sciences - Computational biology 2002
Computing Similarity between RNA Structures
CPM '99 Proceedings of the 10th Annual Symposium on Combinatorial Pattern Matching
Computing the Edit-Distance between Unrooted Ordered Trees
ESA '98 Proceedings of the 6th Annual European Symposium on Algorithms
Algorithms and complexity for annotated sequence analysis
Algorithms and complexity for annotated sequence analysis
A survey on tree edit distance and related problems
Theoretical Computer Science
Lifting Prediction to Alignment of RNA Pseudoknots
RECOMB 2'09 Proceedings of the 13th Annual International Conference on Research in Computational Molecular Biology
Fast RNA Structure Alignment for Crossing Input Structures
CPM '09 Proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching
Algorithms for Finding a Most Similar Subforest
Theory of Computing Systems
Forest alignment with affine gaps and anchors
CPM'11 Proceedings of the 22nd annual conference on Combinatorial pattern matching
An optimal decomposition algorithm for tree edit distance
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
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Detecting local common sequence-structure regions of RNAs is a biologically meaningful problem. By detecting such regions, biologists are able to identify functional similarity between the inspected molecules. We developed dynamic programming algorithms for finding common structure-sequence patterns between two RNAs. The RNAs are given by their sequence and a set of potential base pairs with associated probabilities. In contrast to prior work which matches fixed structures, we support the arc breaking edit operation; this allows to match only a subset of the given base pairs. We present an O(n3) algorithm for local exact pattern matching between two nested RNAs, and an O(n3logn) algorithm for one nested RNA and one bounded-unlimited RNA.