Packing Tight Hamilton Cycles in Uniform Hypergraphs
✍ Scribed by Bal, Deepak; Frieze, Alan
- Book ID
- 118197940
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2012
- Tongue
- English
- Weight
- 301 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Here improving on our earlier results, we prove that there exists an __n__~0~ such that for __n__⩾__n__~0~ in every 2‐coloring of the edges of __K__ there is a monochromatic Hamiltonian 3‐tight Berge cycle. This proves the __c__=2, __t__=3, __r__=4 special case of a conjecture from (P.
## Abstract In any __r__‐uniform hypergraph ${\cal{H}}$ for 2 ≤ __t__ ≤ __r__ we define an __r__‐uniform __t__‐tight Berge‐cycle of length ℓ, denoted by __C__~ℓ~^(__r__, __t__)^, as a sequence of distinct vertices __v__~1~, __v__~2~, … , __v__~ℓ~, such that for each set (__v__~__i__~, __v__~__i__ +