Introduction to algorithms
Efficient parallel algorithms for string editing and related problems
SIAM Journal on Computing
Parallel Algorithms for the Longest Common Subsequence Problem
IEEE Transactions on Parallel and Distributed Systems
An all-substrings common subsequence algorithm
Discrete Applied Mathematics
All semi-local longest common subsequences in subquadratic time
CSR'06 Proceedings of the First international computer science conference on Theory and Applications
Note: A fast algorithm for multiplying min-sum permutations
Discrete Applied Mathematics
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We investigate the efficient storage of row-sorted 1-variant (m + 1) × (n + 1) matrices, m n, that have the following properties: the rows are sorted in strictly increasing order and the set of elements of each row differs only by one single element from the set of elements of the next row. It has been shown that row-sorted 1-variant matrices are important in several parallel string comparison applications. Due to the large amount of redundancy in the row elements, we investigate efficient data structures to store such matrices. In this paper we propose a representation that stores a row-sorted 1-variant matrix in O(m log m) space and access time of O(log m) and can be constructed in O(m log m) time. We thus seek a representation that constitutes a nice balance between access time, representation construction time, and space requirement.