Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646679 | Discrete Mathematics | 2016 | 9 Pages |
Abstract
An LPHTS(v)LPHTS(v) is a collection of 4(v−2)4(v−2) disjoint pure Hybrid triple systems on the same set of vv elements. In Fan (2010), it is showed that there exists an LPHTS(v)LPHTS(v) for v≡0,4v≡0,4 mod 6. In this paper, we establish the existence of an LPHTS(v)LPHTS(v) for v≡1,3v≡1,3 mod 6, v>3v>3. Finally, the spectrum for LPHTSsLPHTSs is completely determined.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Yuanyuan Liu, Mingwei Nie,