| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6423347 | Discrete Mathematics | 2015 | 4 Pages |
Abstract
Extended triple systems are firstly introduced by Johnson and Mendelson (1972). The existence of the large sets of extended directed triple systems LEDTS(v) has been basically solved except possibly five orders v=95,143,167,203,215, see Liu and Kang (2009, 2010). But, the existence proof of LEDTS(12k+11) is very complicated. In this paper, we give a simple existence proof and get the existence of LEDTSs for the remaining five orders. Finally, the spectrum for LEDTSs is completely determined.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Yuanyuan Liu, Qingde Kang,