Efficient parallel algorithms for string editing and related problems
SIAM Journal on Computing
An improved algorithm for computing the edit distance of run-length coded strings
Information Processing Letters
A space efficient algorithm for finding the best nonoverlapping alignment score
Theoretical Computer Science
An Algorithm for Locating Nonoverlapping Regions of Maximum Alignment Score
SIAM Journal on Computing
Perspectives of Monge properties in optimization
Discrete Applied Mathematics
Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
Matching for run-length encoded strings
Journal of Complexity
The String-to-String Correction Problem
Journal of the ACM (JACM)
A linear space algorithm for computing maximal common subsequences
Communications of the ACM
On the common substring alignment problem
Journal of Algorithms
Edit distance of run-length encoded strings
Information Processing Letters
A Subquadratic Sequence Alignment Algorithm for Unrestricted Scoring Matrices
SIAM Journal on Computing
The Knuth-Yao quadrangle-inequality speedup is a consequence of total-monotonicity
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Edit distance for a run-length-encoded string and an uncompressed string
Information Processing Letters
Notes on searching in multidimensional monotone arrays
SFCS '88 Proceedings of the 29th Annual Symposium on Foundations of Computer Science
Computing similarity of run-length encoded strings with affine gap penalty
SPIRE'05 Proceedings of the 12th international conference on String Processing and Information Retrieval
Approximate Matching for Run-Length Encoded Strings Is 3sum-Hard
CPM '09 Proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching
Hardness of comparing two run-length encoded strings
Journal of Complexity
A fully compressed algorithm for computing the edit distance of run-length encoded strings
ESA'10 Proceedings of the 18th annual European conference on Algorithms: Part I
Hardness of longest common subsequence for sequences with bounded run-lengths
CPM'12 Proceedings of the 23rd Annual conference on Combinatorial Pattern Matching
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A unified framework is applied to solving various sequence comparison problems for run-length encoded strings. All of these algorithms take O( min {mn茂戮驴,m茂戮驴n}) time and O( max {m,n}) space, for two strings of lengths mand n, with m茂戮驴 and n茂戮驴 runs, respectively. We assume the linear-gap model and make no assumption on the scoring matrices, which maximizes the applicability of these algorithms. The trace (i.e., the way to align two strings) of an optimal solution can also be recovered within the same time and space bounds.