Exact Bounds for Judicious Partitions of Graphs
✍ Scribed by B. Bollobás; A. D. Scott
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 223 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0209-9683
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📜 SIMILAR VOLUMES
## 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
If G is a graph on n vertices and r 2 2, w e let m,(G) denote the minimum number of complete multipartite subgraphs, with r or fewer parts, needed to partition the edge set, f(G). In determining m,(G), w e may assume that no two vertices of G have the same neighbor set. For such reduced graphs G, w