Title
Inducing the Lyndon Array.
Abstract
In this paper we propose a variant of the induced suffix sorting algorithm by Nong (TOIS, 2013) that computes simultaneously the Lyndon array and the suffix array of a text in $O(n)$ time using $\sigma + O(1)$ words of working space, where $n$ is the length of the text and $\sigma$ is the alphabet size. Our result improves the previous best space requirement for linear time computation of the Lyndon array. In fact, all the known linear algorithms for Lyndon array computation use suffix sorting as a preprocessing step and use $O(n)$ words of working space in addition to the Lyndon array and suffix array. Experimental results with real and synthetic datasets show that our algorithm is not only space-efficient but also fast in practice.
Year
DOI
Venue
2019
10.1007/978-3-030-32686-9_10
SPIRE
Field
DocType
Volume
Discrete mathematics,Combinatorics,Suffix,Sorting,Suffix array,Preprocessor,Sigma,Time complexity,Mathematics,Sorting algorithm,Computation
Journal
abs/1905.12987
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Felipe Alves da Louza1409.13
Sabrina Mantaci216319.33
Giovanni Manzini31584111.42
Marinella Sciortino422522.34
Guilherme P. Telles519524.72