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Algorithms and Complexity Results for Genome Mapping Problems.

Ashok Rajaraman, Joao Paulo Pereira Zanetti, Jan Manuch

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    This study introduces algorithms for genome mapping that account for repeated markers, which are common in genomic data. The research demonstrates that genome mapping with repeats is feasible under specific conditions, improving genomic analysis.

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    Area of Science:

    • Bioinformatics
    • Computational Biology
    • Genomics

    Background:

    • Traditional genome mapping algorithms assume unique marker occurrences.
    • Repeated markers present significant challenges in accurately reconstructing genome maps.
    • Understanding marker order is crucial for genetic analysis and disease research.

    Purpose of the Study:

    • To develop and analyze algorithms for genome mapping that incorporate repeated markers.
    • To determine the computational complexity of genome mapping problems involving repeats.
    • To investigate conditions under which genome mapping with repeats is tractable.

    Main Methods:

    • Introduced algorithmic questions considering repeats (markers with multiple occurrences).
    • Utilized upper bounds on copy numbers and repeat-spanning intervals.
    • Analyzed tractability for linear and/or circular chromosomal fragments.
    • Investigated NP-hardness and fixed-parameter tractability for subset extraction problems.

    Main Results:

    • Genome mapping with repeats is tractable given copy number bounds and repeat-spanning intervals for linear/circular genomes.
    • Extracting maximum subsets of repeat-spanning intervals is NP-hard but fixed-parameter tractable.
    • Tractability is achieved when intervals contain only a single repeated marker.

    Conclusions:

    • The developed algorithms provide a tractable approach to genome mapping with repeats.
    • This work advances computational methods for analyzing complex genomes with repetitive elements.
    • The findings have implications for accurate genome assembly and comparative genomics.