K-d trees for semidynamic point sets
SCG '90 Proceedings of the sixth annual symposium on Computational geometry
Sparse dynamic programming I: linear cost functions
Journal of the ACM (JACM)
Chaining multiple-alignment fragments in sub-quadratic time
Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms
EMAGEN: an efficient approach to multiple whole genome alignment
APBC '04 Proceedings of the second conference on Asia-Pacific bioinformatics - Volume 29
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Given a set of matches between a cDNA sequence and multiple genomic sequences, we present a subquadratic chaining algorithm for computing an optimal chain of colinear matches, while allowing overlaps between the matches. Our algorithm improves upon the quadratic graph based solution, and extends the previous algorithms which are limited to matches between a cDNA sequence and a single genomic sequence. The matches of the resulting chain serve as anchors for computing a multiple alignment between the cDNA and the given sequences.