A Sublinear Bipartiteness Tester for Bounded Degree Graphs
β Scribed by Oded Goldreich; Dana Ron
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 443 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0209-9683
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We show that the problem of deciding whether a connected bipartite graph of degree at most 4 has a cubic subgraph is NP-complete.
## Abstract Given a bipartite graph __H__ and a positive integer __n__ such that __v__(__H__) divides 2__n__, we define the minimum degree threshold for bipartite __H__βtiling, Ξ΄~2~(__n, H__), as the smallest integer __k__ such that every bipartite graph __G__ with __n__ vertices in each partition
## 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