On Spectral Bounds for thek-Partitioning of Graphs
✍ Scribed by Robert Elsässer; Thomas Lücking; Burkhard Monien
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 238 KB
- Volume
- 36
- Category
- Article
- ISSN
- 1433-0490
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## Abstract We prove results on partitioning graphs __G__ with bounded maximum degree. In particular, we provide optimal bounds for bipartitions __V__(__G__) = __V__~1~ ∪ __V__~2~ in which we minimize {__e__(__V__~1~), __e__(__V__~2~)}. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 131–143, 200
The partitioning of graphs is a frequently occurring problem in science and engineering. The spectral graph partitioning method is a promising heuristic method for this class of problems. Its main disadvantage is the large computing time required to solve a special eigenproblem. Here a simple and ef