We prove the asymptotically best possible result that, for every integer k 2, every 3-uniform graph with m edges has a vertex-partition into k sets such that each set contains at most (1+o(1)) mÂk 3 edges. We also consider related problems and conjecture a more general result. 1997 Academic Press
Judicious partitions of bounded-degree graphs
✍ Scribed by B. Bollobás; A. D. Scott
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 118 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
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, 2004
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