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Stretching Short Sequences of DNA with Constant Force Axial Optical Tweezers
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Accelerating String Comparison in RLZ Compressed Sequences via LCE Jumps.

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    Summary
    This summary is machine-generated.

    This study introduces an algorithmic framework for sorting sequences of Relative Lempel-Ziv (RLZ) factors, enhancing compressed data construction. RLZ sorting achieved significant speedups, advancing its use as a foundation for efficient data representation.

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    Area of Science:

    • Computer Science
    • Data Compression
    • Algorithms

    Background:

    • Relative Lempel-Ziv (RLZ) is effective for compressing large, repetitive data.
    • Existing methods lack efficient primitives for compressed construction.
    • RLZ is primarily an archival format, not a tractable representation.

    Purpose of the Study:

    • To develop an algorithmic framework for comparing and sorting RLZ factors.
    • To enable efficient compressed construction using RLZ.
    • To advance RLZ from an archival format to a workable representation.

    Main Methods:

    • Introduced a framework for structural comparison and lexicographical sorting of RLZ factor sequences.
    • Characterized conditions for direct factor comparisons and RLZ-specific shortcuts.
    • Developed a method for extending truncated factors to right-maximal matches.

    Main Results:

    • RLZ sorting demonstrated speedups of up to 3.93x compared to character-based sorting.
    • The framework enables recovery of matching statistics from RLZ parses.
    • Established efficient primitives for compressed construction using RLZ.

    Conclusions:

    • The proposed framework enhances the utility of RLZ for compressed data construction.
    • RLZ sorting provides significant performance improvements over traditional methods.
    • This work lays the foundation for using RLZ as a basis for advanced compressed data structures.