On judicious bisections of graphs
β Scribed by Xu, Baogang; Yu, Xingxing
- Book ID
- 122784523
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 536 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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## Abstract A bipartition of the vertex set of a graph is called __balanced__ if the sizes of the sets in the bipartition differ by at most one. B. BollobΓ‘s and A. D. Scott, Random Struct Alg 21 (2002), 414β430 conjectured that if __G__ is a graph with minimum degree of at least 2 then __V__(__G__)
## Abstract We prove results on partitioning graphs __G__ with bounded maximum degree. In particular, we provide optimal bounds for bipartitions __V__(__G__) = __V__~1~ βͺ __V__~2~ in which we minimize {__e__(__V__~1~), __e__(__V__~2~)}. Β© 2004 Wiley Periodicals, Inc. J Graph Theory 46: 131β143, 200