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        <identifier>oai:drops-oai.dagstuhl.de:20659</identifier>
        <datestamp>2024-08-26T09:36:46Z</datestamp>
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          <dc:title>Swiftly Identifying Strongly Unique k-Mers</dc:title>
          <dc:creator>Zentgraf, Jens</dc:creator>
          <dc:creator>Rahmann, Sven</dc:creator>
          <dc:subject>k-mer</dc:subject>
          <dc:subject>Hamming distance</dc:subject>
          <dc:subject>strong uniqueness</dc:subject>
          <dc:subject>parallelization</dc:subject>
          <dc:subject>algorithm engineering</dc:subject>
          <dc:description>Motivation. Short DNA sequences of length k that appear in a single location (e.g., at a single genomic position, in a single species from a larger set of species, etc.) are called unique k-mers. They are useful for placing sequenced DNA fragments at the correct location without computing alignments and without ambiguity. However, they are not necessarily robust: A single basepair change may turn a unique k-mer into a different one that may in fact be present at one or more different locations, which may give confusing or contradictory information when attempting to place a read by its k-mer content. A more robust concept are strongly unique k-mers, i.e., unique k-mers for which no Hamming-distance-1 neighbor with conflicting information exists in all of the considered sequences. Given a set of k-mers, it is therefore of interest to have an efficient method that can distinguish k-mers with a Hamming-distance-1 neighbor in the collection from those that do not. &#13;
&#13;
Results. We present engineered algorithms to identify and mark within a set K of (canonical) k-mers all elements that have a Hamming-distance-1 neighbor in the same set. One algorithm is based on recursively running a 4-way comparison on sub-intervals of the sorted set. The other algorithm is based on bucketing and running a pairwise bit-parallel Hamming distance test on small buckets of the sorted set. Both methods consider canonical k-mers (i.e., taking reverse complements into account) and allow for efficient parallelization. The methods have been implemented and applied in practice to sets consisting of several billions of k-mers. An optimized combined approach running with 16 threads on a 16-core workstation, yields wall-clock running times below 20 seconds on the 2.5 billion distinct 31-mers of the human telomere-to-telomere reference genome. &#13;
&#13;
Availability. An implementation can be found at https://gitlab.com/rahmannlab/strong-k-mers.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Jens Zentgraf and Sven Rahmann</dc:contributor>
          <dc:date>2024</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 312, 24th International Workshop on Algorithms in Bioinformatics (WABI 2024)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
          <dc:type>doc-type:ResearchArticle</dc:type>
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          <dc:identifier>doi:10.4230/LIPIcs.WABI.2024.15</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-206593</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.WABI.2024.15</dc:identifier>
          <dc:language>eng</dc:language>
          <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
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