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    Area of Science:

    • Genomics
    • Computational Biology
    • Bioinformatics

    Background:

    • The inversion distance for genomes with identical content is exactly computable.
    • The inversion-indel distance for genomes with unequal content was previously heuristic.
    • The double cut and join (DCJ) operation and DCJ-indel distance offer simpler computation models.

    Purpose of the Study:

    • To develop the first exact algorithm for computing the inversion-indel distance.
    • To address the limitations of previous heuristic methods for inversion-indel distance.
    • To provide a complete computational solution for genome comparison including inversions and indels.

    Main Methods:

    • Extending the double cut and join (DCJ) framework to include indels.
    • Developing an algorithm to handle 'bad components' in genome comparison diagrams.
    • Providing a linear-time algorithm for the DCJ-indel distance.

    Main Results:

    • The inversion-indel distance is shown to be equal to the DCJ-indel distance when no bad components exist.
    • The first exact algorithm for computing the inversion-indel distance, even with bad components, is presented.
    • This algorithm completes the study of the inversion-indel distance.

    Conclusions:

    • The developed algorithm provides an exact computation for the inversion-indel distance.
    • This resolves a long-standing challenge in comparative genomics.
    • The findings enable more accurate comparisons of genomes with complex rearrangements and unequal content.