A (1.4+ϵ)-approximation algorithm for the 2-Max-Duo problem

The maximum duo-preservation string mapping ( Max-Duo ) problem is the complement of the well studied minimum common string partition problem, both of which have applications in many fields including text compression and bioinformatics. k - Max-Duo is the restricted version of Max-Duo , where every...

Full description

Saved in:
Bibliographic Details
Published in:Journal of combinatorial optimization Vol. 40; no. 3; pp. 806 - 824
Main Authors: Chen, Yong, Lin, Guohui, Liu, Tian, Luo, Taibo, Su, Bing, Xu, Yao, Zhang, Peng
Format: Journal Article
Language:English
Published: New York Springer US 01.10.2020
Springer Nature B.V
Subjects:
Algorithms
Approximation
Bioinformatics
Combinatorics
Convex and Discrete Geometry
Degree reduction
Mapping
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Strings
Theory of Computation
String partition
Duo-preservation string mapping
G.4 Algorithm design and analysis
Independent set
F.2.2 Pattern matching
Approximation algorithm
G.2.1 Combinatorial algorithms
ISSN:1382-6905, 1573-2886
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The maximum duo-preservation string mapping ( Max-Duo ) problem is the complement of the well studied minimum common string partition problem, both of which have applications in many fields including text compression and bioinformatics. k - Max-Duo is the restricted version of Max-Duo , where every letter of the alphabet occurs at most k times in each of the strings, which is readily reduced into the well known maximum independent set ( MIS ) problem on a graph of maximum degree Δ ≤ 6 ( k - 1 ) . In particular, 2- Max-Duo can then be approximated arbitrarily close to 1.8 using the state-of-the-art approximation algorithm for the MIS problem on bounded-degree graphs. 2- Max-Duo was proved APX-hard and very recently a ( 1.6 + ϵ ) -approximation algorithm was claimed, for any ϵ > 0 . In this paper, we present a vertex-degree reduction technique, based on which, we show that 2- Max-Duo can be approximated arbitrarily close to 1.4.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1382-6905
1573-2886
DOI:10.1007/s10878-020-00621-0