2015
DOI: 10.1016/j.tcs.2015.06.023
|View full text |Cite
|
Sign up to set email alerts
|

A complexity and approximation framework for the maximization scaffolding problem

Abstract: International audienceWe explore in this paper some complexity issues inspired by the contig scaffolding problem in bioinformatics. We focus on the following problem: given an undirected graph with no loop, and a perfect matching on this graph, find a set of cycles and paths covering every vertex of the graph, with edges alternatively in the matching and outside the matching, and satisfying a given constraint on the numbers of cycles and paths. We show that this problem is NP-complete, even in planar bipartite… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
36
1

Year Published

2015
2015
2020
2020

Publication Types

Select...
5
1
1

Relationship

0
7

Authors

Journals

citations
Cited by 20 publications
(37 citation statements)
references
References 23 publications
(33 reference statements)
0
36
1
Order By: Relevance
“…Furthermore, by the condition (iii), SAG(M) consists entirely of alternating paths. A similar optimization problem, where the number of paths and the number cycles in the resulting SAG(M) are fixed, is known to be NPcomplete [31], leaving a little hope for the RMMP to have a polynomial-time solution. Instead, CAMSA employs two merging heuristic solutions building upon the previously proposed algorithms [31,32] as described below in this section.…”
Section: Problem 2 (Restricted Maximum Matching Problem Rmmp) Given mentioning
confidence: 99%
“…Furthermore, by the condition (iii), SAG(M) consists entirely of alternating paths. A similar optimization problem, where the number of paths and the number cycles in the resulting SAG(M) are fixed, is known to be NPcomplete [31], leaving a little hope for the RMMP to have a polynomial-time solution. Instead, CAMSA employs two merging heuristic solutions building upon the previously proposed algorithms [31,32] as described below in this section.…”
Section: Problem 2 (Restricted Maximum Matching Problem Rmmp) Given mentioning
confidence: 99%
“…Furthermore, by the condition (iii), SAG(M ) consists entirely of alternating paths. A similar optimization problem, where the number of paths and the number cycles in the resulting SAG(M ) are fixed, is known to be NP-complete [10], leaving a little hope for the RMMP to have a polynomial-time solution. Instead, CAMSA employs two merging heuristic solutions building upon the previously proposed algorithms [31,10] as described below in this section.…”
Section: Merging Assembliesmentioning
confidence: 99%
“…The scaffolding operation then aims at selecting the best paths in this graph in order to produce longer genomic sequences called scaffolds. Previous work focuses on the production of sequences by solving the so-called Scaffolding problem in this graph [4,14,16]. Scaffolding is a widely studied problem in bioinformatics and can be modeled by numerous, mostly heuristic, methods [8].…”
Section: Introductionmentioning
confidence: 99%