IOS Press External Memory Algorithms for String Problems ∗

Abstract. In this paper we present external memory algorithms for some string problems. External memory algorithms have been developed in many research areas, as the speed gap between fast internal memory and slow external memory continues to grow. The goal of external memory algorithms is to minimize the number of input/output operations between internal memory and external memory. These years the sizes of strings such as DNA sequences are rapidly increasing. However, external memory algorithms have been developed for only a few string problems. In this paper we consider five string problems and present external memory algorithms for them. They are the problems of finding the maximum suffix, string matching, period finding, Lyndon decomposition, and finding the minimum of a circular string. Every algorithm that we present here runs in a linear number of I/Os in the external memory model with one disk, and they run in an optimal number of disk I/Os in the external memory model with multiple disks

Alignment of biological sequences with quality scores.

In this paper we consider the problem of sequence alignment with quality scores. DNA sequences produced by a base-calling program (as part of sequencing) have quality scores which represent the confidence level for individual bases. However, previous sequence alignment algorithms do not consider such quality scores. To solve sequence alignment with quality scores, we first consider a more general problem where the input is weighted sequences which are sequences with probabilities that characters occur in each position. We propose a meaningful measure of an alignment of two weighted sequences and show that an optimal alignment in this measure can be found by dynamic programming. Sequence alignment with quality scores can be solved as a special case of the weighted sequence alignment problem

External memory algorithms for string problems

In this paper we present external memory algorithms for some string problems. External memory algorithms have been developed in many research areas, as the speed gap between fast internal memory and slow external memory continues to grow. The goal of external memory algorithms is to minimize the number of input/output operations between internal memory and external memory. These years the sizes of strings such as DNA sequences are rapidly increasing. However, external memory algorithms have been developed for only a few string problems. In this paper we consider five string problems and present external memory algorithms for them. They are the problems of finding the maximum suffix, string matching, period finding, Lyndon decomposition, and finding the minimum of a circular string. Every algorithm that we present here runs in a linear number of I/Os in the external memory model with one disk, and they run in an optimal number of disk I/Os in the external memory model with multiple disks