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Partitioning 3-uniform hypergraphs

✍ 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

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πŸ“œ SIMILAR VOLUMES


Judicious Partitions of 3-uniform Hyperg
✍ B. BollobΓ‘s; A.D. Scott πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 113 KB

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

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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