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The spectrum for large sets of pure directed triple systems.
- Source :
- Science in China. Series A: Mathematics, Physics & Astronomy; Aug2006, Vol. 49 Issue 8, p1103-1127, 25p
- Publication Year :
- 2006
-
Abstract
- An LPDTS( ν) is a collection of 3( ν − 2) disjoint pure directed triple systems on the same set of ν elements. It is showed in Tian’s doctoral thesis that there exists an LPDTS( gn) for gn ≡ 0,4 (mod 6), ν ⩾ 4. In this paper, we establish the existence of an LPDTS( ν) for ν ≡ 1,3 (mod 6), ν > 3. Thus the spectrum for LPDTS( ν) is completely determined to be the set { ν:ν ≡ 0, 1 (mod 3), ν ⩾ 4}. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10069283
- Volume :
- 49
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Science in China. Series A: Mathematics, Physics & Astronomy
- Publication Type :
- Academic Journal
- Accession number :
- 49372959
- Full Text :
- https://doi.org/10.1007/s11425-006-2007-3