Polynomial time approximation schemes for max-bisection on planar and geometric graphs
Författare
Summary, in English
The max-bisection and min-bisection problems are to find a partition of the vertices of a graph into two equal size subsets that, respectively, maximizes or minimizes the number of edges with endpoints in both subsets. We design the first polynomial time approximation scheme for the max-bisection problem on arbitrary planar graphs solving a long-standing open problem. The method of solution involves designing exact polynomial time algorithms for computing optimal partitions of bounded treewidth graphs, in particular max- and min-bisection, which could be of independent interest. Using a similar method we design also the first polynomial time approximation scheme for max-bisection on unit disk graphs ( which could also be easily extended to other geometrically defined graphs).
Avdelning/ar
- Computer Science
Publiceringsår
2005
Språk
Engelska
Sidor
110-119
Publikation/Tidskrift/Serie
SIAM Journal on Computing
Volym
35
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Society for Industrial and Applied Mathematics
Ämne
- Computer Science
Nyckelord
- graph bisection
- planar graphs
- combinatorial optimization
- polynomial time approximation schemes
- NP-hardness
- approximation algorithms
Status
Published
Projekt
- VR 2002-4049
ISBN/ISSN/Övrigt
- ISSN: 0097-5397