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

Autor: Alatabbi, Ali, Daykin, Jacqueline W., Rahman, M. Sohel, Smyth, W. F.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: $V$-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.
Databáze: arXiv