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arXiv · 1507.07038

String Comparison in $V$-Order: New Lexicographic Properties & On-line Applications

Ali Alatabbi·Jacqueline W. Daykin·M. Sohel Rahman·W. F. Smyth
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Abstract

$V$-order is a global order on strings related to Unique Maximal Factorization Families (UMFFs), which are themselves generalizations of Lyndon words. $V$-order has recently been proposed as an alternative to lexicographical order in the computation of suffix arrays and in the suffix-sorting induced by the Burrows-Wheeler transform. Efficient $V$-ordering of strings thus becomes a matter of considerable interest. In this paper we present new and surprising results on $V$-order in strings, then go on to explore the algorithmic consequences.

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Ali Alatabbi, Jacqueline W. Daykin, M. Sohel Rahman, W. F. Smyth. 2015-07-24. String Comparison in $V$-Order: New Lexicographic Properties & On-line Applications. https://arxiv.org/abs/1507.07038

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