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        <datestamp>2024-03-06T10:47:28Z</datestamp>
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          <dc:title>Validating Paired-End Read Alignments in Sequence Graphs</dc:title>
          <dc:creator>Jain, Chirag</dc:creator>
          <dc:creator>Zhang, Haowen</dc:creator>
          <dc:creator>Dilthey, Alexander</dc:creator>
          <dc:creator>Aluru, Srinivas</dc:creator>
          <dc:subject>Sequence graphs</dc:subject>
          <dc:subject>read mapping</dc:subject>
          <dc:subject>index</dc:subject>
          <dc:subject>sparse matrix-matrix multiplication</dc:subject>
          <dc:description>Graph based non-linear reference structures such as variation graphs and colored de Bruijn graphs enable incorporation of full genomic diversity within a population. However, transitioning from a simple string-based reference to graphs requires addressing many computational challenges, one of which concerns accurately mapping sequencing read sets to graphs. Paired-end Illumina sequencing is a commonly used sequencing platform in genomics, where the paired-end distance constraints allow disambiguation of repeats. Many recent works have explored provably good index-based and alignment-based strategies for mapping individual reads to graphs. However, validating distance constraints efficiently over graphs is not trivial, and existing sequence to graph mappers rely on heuristics. We introduce a mathematical formulation of the problem, and provide a new algorithm to solve it exactly. We take advantage of the high sparsity of reference graphs, and use sparse matrix-matrix multiplications (SpGEMM) to build an index which can be queried efficiently by a mapping algorithm for validating the distance constraints. Effectiveness of the algorithm is demonstrated using real reference graphs, including a human MHC variation graph, and a pan-genome de-Bruijn graph built using genomes of 20 B. anthracis strains. While the one-time indexing time can vary from a few minutes to a few hours using our algorithm, answering a million distance queries takes less than a second.</dc:description>
          <dc:publisher>Schloss Dagstuhl – Leibniz-Zentrum für Informatik</dc:publisher>
          <dc:contributor>Chirag Jain and Haowen Zhang and Alexander Dilthey and Srinivas Aluru</dc:contributor>
          <dc:date>2019</dc:date>
          <dc:relation>Is Part Of LIPIcs, Volume 143, 19th International Workshop on Algorithms in Bioinformatics (WABI 2019)</dc:relation>
          <dc:type>InProceedings</dc:type>
          <dc:type>Text</dc:type>
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          <dc:identifier>doi:10.4230/LIPIcs.WABI.2019.17</dc:identifier>
          <dc:identifier>urn:nbn:de:0030-drops-110470</dc:identifier>
          <dc:identifier>https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.WABI.2019.17</dc:identifier>
          <dc:language>eng</dc:language>
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