Article ID Journal Published Year Pages File Type
4648359 Discrete Mathematics 2009 15 Pages PDF
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.

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Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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