The Library
Minimum bisection is fixed parameter tractable
Tools
Tools
Tools
Cygan, Marek, Lokshtanov, Daniel, Pilipczuk, Marcin, Pilipczuk, Michał and Saurabh, Saket (2014) Minimum bisection is fixed parameter tractable. In: STOC '14 : 46th Annual ACM Symposium on Theory of Computing, New York, 31 May- 3 Jun 2014. Published in: STOC '14 Proceedings of the 46th Annual ACM Symposium on Theory of Computing pp. 323-332. ISSN 9781450327107. doi:10.1145/2591796.2591852
|
PDF
WRAP_1371795-cs-270115-bisection.pdf - Accepted Version - Requires a PDF viewer. Download (547Kb) | Preview |
Official URL: http://dx.doi.org/10.1145/2591796.2591852
Abstract
In the classic Minimum Bisection problem we are given as input a graph G and an integer k. The task is to determine whether there is a partition of V (G) into two parts A and B such that ||A| -- |B|| ≤ 1 and there are at most k edges with one endpoint in A and the other in B. In this paper we give an algorithm for Minimum Bisection with running time O(2O(k3) n3 log3 n). This is the first fixed parameter tractable algorithm for Minimum Bisection. At the core of our algorithm lies a new decomposition theorem that states that every graph G can be decomposed by small separators into parts where each part is "highly connected" in the following sense: any cut of bounded size can separate only a limited number of vertices from each part of the decomposition.
Our techniques generalize to the weighted setting, where we seek for a bisection of minimum weight among solutions that contain at most k edges.
| Item Type: | Conference Item (Paper) | ||||
|---|---|---|---|---|---|
| Alternative Title: | |||||
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Graph theory, Trees (Graph theory), Computer algorithms | ||||
| Journal or Publication Title: | STOC '14 Proceedings of the 46th Annual ACM Symposium on Theory of Computing | ||||
| Publisher: | ACM | ||||
| ISSN: | 9781450327107 | ||||
| Official Date: | 2014 | ||||
| Dates: |
|
||||
| Page Range: | pp. 323-332 | ||||
| DOI: | 10.1145/2591796.2591852 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Funder: | Narodowe Centrum Nauki (NCN), Universitetet i Bergen, Seventh Framework Programme (European Commission) (FP7), European Research Council (ERC) | ||||
| Grant number: | UMO-2013/09/B/ST6/03136 (NCN), 267959 (ERC), 306992 (ERC) | ||||
| Adapted As: | |||||
| Embodied As: | 1 | ||||
| Conference Paper Type: | Paper | ||||
| Title of Event: | STOC '14 : 46th Annual ACM Symposium on Theory of Computing | ||||
| Type of Event: | Conference | ||||
| Location of Event: | New York | ||||
| Date(s) of Event: | 31 May- 3 Jun 2014 | ||||
| Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
