# Longest Common Prefixes with k-Errors and Applications

@inproceedings{Ayad2018LongestCP, title={Longest Common Prefixes with k-Errors and Applications}, author={Lorraine A. K. Ayad and Panagiotis Charalampopoulos and Costas S. Iliopoulos and Solon P. Pissis}, booktitle={SPIRE}, year={2018} }

Although real-world text datasets, such as DNA sequences, are far from being uniformly random, average-case string searching algorithms perform significantly better than worst-case ones in most applications of interest. [... ] Key Result We show that our technique is applicable to several algorithmic problems in computational biology and elsewhere. Expand

## 15 Citations

### Faster Algorithms for Longest Common Substring

- Computer ScienceESA
- 2021

An O(n logk−1/2 n)-time algorithm is shown, which stems from a recursive heavy-path decomposition technique that was first introduced in the seminal paper of Cole et al.

### Time-Space Tradeoffs for Finding a Long Common Substring

- Computer ScienceCPM
- 2020

A significant speed-up is obtained for instances where the length of the sought LCS is large, based on techniques originating from the LCS with Mismatches problem, on space-efficient locally consistent parsing, and on the structure of maximal repetitions in the input documents.

### Longest Property-Preserved Common Factor

- Mathematics, Computer ScienceSPIRE
- 2018

This paper considers two fundamental string properties: square-free factors and periodic factors under two different settings, one per property and presents linear-time solutions for both settings.

### Linear-Time Algorithm for Long LCF with k Mismatches

- Computer Science, MathematicsCPM
- 2018

In the Longest Common Factor with $k$ Mismatches (LCF$_k$) problem, we are given two strings $X$ and $Y$ of total length $n$, and we are asked to find a pair of maximal-length factors, one of $X$ and…

### Faster Algorithms for 1-Mappability of a Sequence

- Computer Science, MathematicsCOCOA
- 2017

Two new algorithms that require worst-case time and space for integer alphabets of size \(m=\varOmega (\log _\sigma n)\) are presented, thus greatly improving the state of the art.

### supporting time-optimal queries with O ( log 2 n ) time for updates

- Computer Science, Mathematics
- 2019

The techniques developed can be applied to obtain fully dynamic algorithms for all of the analogously restricted dynamic variants of problems on strings and are applied to computing the solution for a string with a given set of k edits, which leads to answering internal queries on a string.

### Longest property-preserved common factor: A new string-processing framework

- Mathematics, Computer ScienceTheor. Comput. Sci.
- 2020

### Dynamic and Internal Longest Common Substring

- Materials ScienceAlgorithmica
- 2020

The first solution to the fully dynamic LCS problem requiring sublinear time in n per edit operation is presented, and dynamic sublinear-time algorithms for both the longest palindrome and Lyndon factorization of a string after a single edit operation are developed.

### Pattern Masking for Dictionary Matching

- Computer ScienceISAAC
- 2021

It is shown, through a reduction from the well-known $k$-Clique problem, that a decision version of the PMDM problem is NP-complete, even for strings over a binary alphabet.

### SMART: SuperMaximal approximate repeats tool

- BiologyBioinform.
- 2020

This talk will present SMART, a tool based on recent algorithmic advances implemented in C++ to compute supermaximal k-mismatch repeats directly and show that the elements SMART outputs are statistically much more significant than the output of the state-of-the-art tools.

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