A conjecture of BollobΓ‘s and Thomason asserts that, for r β₯ 1, every r -uniform hypergraph with m edges can be partitioned into r classes such that every class meets at least rm/(2r -1) edges. BollobΓ‘s, Reed and Thomason [3] proved that there is a partition in which every edge meets at least (1 -1/e
β¦ LIBER β¦
Partitioning 3-uniform hypergraphs
β Scribed by Jie Ma; Xingxing Yu
- Book ID
- 113698898
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 291 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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The problem of finding a Hamilton decomposition of the complete 3-uniform hypergraph K,3 has been solved for n = 2 (mod 3) and n = 4(mod 6) . We find here a Hamilton decomposition of Ki, no l(mod 6), and a Hamilton decomposition of the complete 3-uniform hypergraph minus a l-factor, Ki -I, n = 0 (mo