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• W3023465514 abstract "Universal hitting sets (UHS) are sets of words that are unavoidable: every long enough sequence is hit by the set (i.e., it contains a word from the set). There is a tight relationship between UHS and minimizer schemes, where minimizer schemes with low density (i.e., efficient schemes) correspond to UHS of small size. Local schemes are a generalization of minimizer schemes that can be used as replacement for minimizer scheme with the possibility of being much more efficient. We establish the link between efficient local schemes and the minimum length of a string that must be hit by a UHS. We give bounds for the remaining path length of the Mykkeltveit UHS. In addition, we create a local scheme with the lowest known density that is only a log factor away from the theoretical lower bound." @default.
• W3023465514 created "2020-05-13" @default.
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• W3023465514 date "2021-04-01" @default.
• W3023465514 modified "2023-10-17" @default.
• W3023465514 title "Lower Density Selection Schemes via Small Universal Hitting Sets with Short Remaining Path Length" @default.
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• W3023465514 doi "https://doi.org/10.1089/cmb.2020.0432" @default.
• W3023465514 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/8066347" @default.
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