Title
Inferring Strings From Cover Arrays
Abstract
Covers, being one of the most popular form of regularities in strings, have drawn much attention in the relevant literature. In this paper, we focus on the problem of linear-time inference of strings from cover arrays using the least sized alphabet. We present an algorithm that can reconstruct a string x over a binary alphabet whenever a valid cover array C is given as an input. We have devised our algorithm using several interesting combinatorial properties of cover arrays as well as an interesting relation between border array and cover array. Our algorithm runs in linear-time. The fact that, from any valid cover array, we can infer a binary string x, is, in itself, a fascinating result in stringology, and this work may be considered as the final step for this particular problem area.
Year
DOI
Venue
2013
10.1142/S1793830913600057
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
Keywords
Field
DocType
Cover array, string inference
Discrete mathematics,Combinatorics,Inference,Binary strings,Mathematics,Binary number,Alphabet
Journal
Volume
Issue
ISSN
5
2
1793-8309
Citations 
PageRank 
References 
1
0.36
5
Authors
4
Name
Order
Citations
PageRank
Tanaeem M. Moosa1685.26
Sumaiya Nazeen281.57
M. Sohel Rahman348856.99
Rezwana Reaz4113.32