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Burrows-Wheeler

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An extremal problem for completely unclustered Burrows-Wheeler images

arXiv:2606.01267v1 Announce Type: cross Abstract: The Burrows--Wheeler transform is usually viewed as a clustering transform: it tends to group equal letters into long runs. We study the opposite extremal regime, where the BWT output is completely unclustered, that is, has as many equal-letter runs as positions. Known results imply, on the one hand, that the number of runs in the BWT of a Lyndon word can increase by at most a factor of two, and, on the other hand, that over every alphabet of...

arXiv CS 8d ago

Faster PBWT prefix-array access via batching

arXiv:2605.15819v3 Announce Type: replace Abstract: The positional Burrows-Wheeler Transform (PBWT) is commonly used to store haplotype panels compactly in such a way that, given a query haplotype, we can quickly find the set maximal exact matches (SMEMs) between the query and the haplotypes in a panel. There are generally two steps in this process: first we find the maximal substrings of the query that occur in the same positions in haplotypes in the panel and then, for each such substring,...

arXiv CS 9d ago