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- Title
The intersection numbers of nearly Kirkman triple systems.
- Authors
Fan, Bing; Jiang, Zhong
- Abstract
In this paper, we investigate the intersection numbers of nearly Kirkman triple systems. J [ v] is the set of all integers k such that there is a pair of NKTS( v)s with a common uncovered collection of 2-subset intersecting in k triples. It has been established that $${J_N}\left[ v \right] = \left\{ {0,1,...,\frac{{v\left( {v - 2} \right)}}{6} - 6,\frac{{v\left( {v - 2} \right)}}{6} - 4,\frac{{v\left( {v - 2} \right)}}{6}} \right\}$$ for any integers v = 0 (mod 6) and v ≥ 66. For v ≤ 60, there are 8 cases left undecided.
- Subjects
INTERSECTION numbers; INTEGERS; MATHEMATICS; ALGEBRAIC geometry; TRIPLET state (Quantum mechanics)
- Publication
Acta Mathematica Sinica, 2016, Vol 32, Issue 12, p1430
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-016-5218-8