Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648359 | Discrete Mathematics | 2009 | 15 Pages |
Abstract
For three types of triples: unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large sets are introduced. The existence of LESTS(υ)LESTS(υ) and LEMTS(υ)LEMTS(υ) were completely solved. In this paper, we shall discuss the existence problem of LEDTS(υ)LEDTS(υ) and give the following conclusion: there exists an LEDTS(υ)LEDTS(υ) for any even υυ except υ=4υ=4. The existence of LEDTS(υ)LEDTS(υ) with odd order υυ will be discussed in another paper, we are working at it.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Yuanyuan Liu, Qingde Kang,