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Eulertigs: minimum plain text representation of k-mer sets without repetitions in linear time
Sebastian Schmidt1, Jarno N Alanko1,2
1Department of Computer Science, University of Helsinki, Helsinki, Finland.
Research Square
|February 24, 2023
Summary
This study introduces an optimal algorithm for efficiently representing DNA sequences using k-mers, minimizing storage space and computational time for genomics applications.
Area of Science:
- Computational Genomics
- Bioinformatics
- Sequence Analysis
Background:
- Efficiently storing k-mers (DNA subsequences of length k) is crucial for computational genomics.
- Existing heuristic methods provide near-minimum representations but lack optimality.
- Downstream applications require compact, repetition-free, and easily usable k-mer storage.
Approach:
- Developed a novel algorithm to construct the de Bruijn graph in linear time.
- Employed a Eulerian-cycle-based method to compute the minimum k-mer representation.
- Algorithm achieves optimal linear time complexity relative to output size.
Key Points:
- The new algorithm guarantees a minimum k-mer representation.
- Achieves optimal time complexity, outperforming previous heuristic approaches.
- Provides a foundation for enhanced performance in genomics data analysis.
Conclusions:
- The presented algorithm offers a theoretically optimal solution for k-mer representation.
- Enables significant improvements in space and time efficiency for genomic sequence processing.
- Facilitates more scalable and performant downstream computational genomics tasks.
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