Complexity of finding embeddings in a k-tree
SIAM Journal on Algebraic and Discrete Methods
Topological sorting of large networks
Communications of the ACM
Treewidth: Algorithmoc Techniques and Results
MFCS '97 Proceedings of the 22nd International Symposium on Mathematical Foundations of Computer Science
Computing Similarity between RNA Structures
CPM '99 Proceedings of the 10th Annual Symposium on Combinatorial Pattern Matching
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
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We present a general setting for structure-sequence comparison in a large class of RNA structures, that unifies and generalizes a number of recent works on specific families of structures. Our approach is based on a tree decomposition of structures, and gives rise to a general parameterized algorithm having complexity in $\mathcal{O}(N\cdot m^t)$, where N (resp. m) is the structure (resp. sequence) length, and the exponent t depends on the family of structures. For each family considered by previous approaches, our contribution specializes into an algorithm whose complexity either matches or outperforms previous solutions.