---
_id: '397'
abstract:
- lang: eng
text: We present a factor $14D^2$ approximation algorithm for the minimum linear
arrangement problem on series-parallel graphs, where $D$ is the maximum degree
in the graph. Given a suitable decomposition of the graph, our algorithm runs
in time $O(|E|)$ and is very easy to implement. Its divide-and-conquer approach
allows for an effective parallelization. Note that a suitable decomposition can
also be computed in time $O(|E|\log{|E|})$ (or even $O(\log{|E|}\log^*{|E|})$
on an EREW PRAM using $O(|E|)$ processors). For the proof of the approximation
ratio, we use a sophisticated charging method that uses techniques similar to
amortized analysis in advanced data structures. On general graphs, the minimum
linear arrangement problem is known to be NP-hard. To the best of our knowledge,
the minimum linear arrangement problem on series-parallel graphs has not been
studied before.
author:
- first_name: Christian
full_name: Scheideler, Christian
id: '20792'
last_name: Scheideler
- first_name: Martina
full_name: Eikel, Martina
last_name: Eikel
- first_name: Alexander
full_name: Setzer, Alexander
id: '11108'
last_name: Setzer
citation:
ama: 'Scheideler C, Eikel M, Setzer A. Minimum Linear Arrangement of Series-Parallel
Graphs. In: *Proceedings of the 12th Workshop on Approximation and Online Algorithms
(WAOA)*. LNCS. ; 2014:168--180.'
apa: Scheideler, C., Eikel, M., & Setzer, A. (2014). Minimum Linear Arrangement
of Series-Parallel Graphs. In *Proceedings of the 12th Workshop on Approximation
and Online Algorithms (WAOA)* (pp. 168--180).
bibtex: '@inproceedings{Scheideler_Eikel_Setzer_2014, series={LNCS}, title={Minimum
Linear Arrangement of Series-Parallel Graphs}, booktitle={Proceedings of the 12th
Workshop on Approximation and Online Algorithms (WAOA)}, author={Scheideler, Christian
and Eikel, Martina and Setzer, Alexander}, year={2014}, pages={168--180}, collection={LNCS}
}'
chicago: Scheideler, Christian, Martina Eikel, and Alexander Setzer. “Minimum Linear
Arrangement of Series-Parallel Graphs.” In *Proceedings of the 12th Workshop
on Approximation and Online Algorithms (WAOA)*, 168--180. LNCS, 2014.
ieee: C. Scheideler, M. Eikel, and A. Setzer, “Minimum Linear Arrangement of Series-Parallel
Graphs,” in *Proceedings of the 12th Workshop on Approximation and Online Algorithms
(WAOA)*, 2014, pp. 168--180.
mla: Scheideler, Christian, et al. “Minimum Linear Arrangement of Series-Parallel
Graphs.” *Proceedings of the 12th Workshop on Approximation and Online Algorithms
(WAOA)*, 2014, pp. 168--180.
short: 'C. Scheideler, M. Eikel, A. Setzer, in: Proceedings of the 12th Workshop
on Approximation and Online Algorithms (WAOA), 2014, pp. 168--180.'
date_created: 2017-10-17T12:42:09Z
date_updated: 2022-01-06T07:00:02Z
ddc:
- '040'
department:
- _id: '79'
file:
- access_level: closed
content_type: application/pdf
creator: florida
date_created: 2018-03-20T06:58:44Z
date_updated: 2018-03-20T06:58:44Z
file_id: '1381'
file_name: 397-WAOA14_01.pdf
file_size: 365818
relation: main_file
success: 1
file_date_updated: 2018-03-20T06:58:44Z
has_accepted_license: '1'
page: 168--180
project:
- _id: '1'
name: SFB 901
- _id: '5'
name: SFB 901 - Subprojekt A1
- _id: '2'
name: SFB 901 - Project Area A
publication: Proceedings of the 12th Workshop on Approximation and Online Algorithms
(WAOA)
series_title: LNCS
status: public
title: Minimum Linear Arrangement of Series-Parallel Graphs
type: conference
user_id: '15504'
year: '2014'
...