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Packing tight Hamilton cycles in 3-uniform hypergraphs

โœ Scribed by Alan Frieze; Michael Krivelevich; Po-Shen Loh


Book ID
112187360
Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
295 KB
Volume
40
Category
Article
ISSN
1042-9832

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Monochromatic Hamiltonian 3-tight Berge
โœ Andrรกs Gyรกrfรกs; Gรกbor N. Sรกrkรถzy; Endre Szemerรฉdi ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 122 KB

## Abstract Here improving on our earlier results, we prove that there exists an __n__~0~ such that for __n__โฉพ__n__~0~ in every 2โ€coloring of the edges of __K__ there is a monochromatic Hamiltonian 3โ€tight Berge cycle. This proves the __c__=2, __t__=3, __r__=4 special case of a conjecture from (P.