Back to Search Start Over

A local search 2.917-approximation algorithm for duo-preservation string mapping

Authors :
Xu, Yao
Chen, Yong
Luo, Taibo
Lin, Guohui
Publication Year :
2017

Abstract

We study the {\em maximum duo-preservation string mapping} ({\sc Max-Duo}) problem, which is the complement of the well studied {\em minimum common string partition} ({\sc MCSP}) problem. Both problems have applications in many fields including text compression and bioinformatics. Motivated by an earlier local search algorithm, we present an improved approximation and show that its performance ratio is no greater than ${35}/{12} < 2.917$. This beats the current best $3.25$-approximation for {\sc Max-Duo}. The performance analysis of our algorithm is done through a complex yet interesting amortization. Two lower bounds on the locality gap of our algorithm are also provided.<br />Comment: 37 pages, 33 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1702.01877
Document Type :
Working Paper