REAL

A linear algorithm for string reconstruction in the reverse complement equivalence model

Cicalese, F. and Erdős, Péter and Lipták, Z. (2012) A linear algorithm for string reconstruction in the reverse complement equivalence model. JOURNAL OF DISCRETE ALGORITHMS, 14. pp. 37-54. ISSN 1570-8667

[img]
Preview
Text
CEL-JDA11.pdf

Download (443kB) | Preview

Abstract

In the reverse complement equivalence model, it is not possible to distinguish a string from its reverse complement. We show that one can still reconstruct a string of length n, up to reverse complement, using a linear number of subsequence queries of bounded length. We first give the proof for strings over a binary alphabet, and then extend it to arbitrary finite alphabets. A simple information theoretic lower bound proves the number of queries to be asymptotically tight. Furthermore, our result is optimal w.r.t. the bound on the query length given in Erdos et al. (2006) [6].

Item Type: Article
Additional Information: Selected papers from the 21st International Workshop on Combinatorial Algorithms (IWOCA 2010)
Uncontrolled Keywords: Algorithms; INFORMATION THEORY; Subwords; Subsequences; String reconstruction; String algorithms; Reverse complement; Combinatorics on words
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 05:48
Last Modified: 08 Feb 2014 07:57
URI: http://real.mtak.hu/id/eprint/9904

Actions (login required)

Edit Item Edit Item