Large sets of extended directed triple systems with even orders

Autor:	Yuanyuan Liu, Qingde Kang
Rok vydání:	2009
Předmět:	Discrete mathematics Combinatorics Transitive relation Integer Large set (Ramsey theory) Triple system Extended triple Order (group theory) Discrete Mathematics and Combinatorics Extended triple system Large set Mathematics Theoretical Computer Science
Zdroj:	Discrete Mathematics. 309(23-24):6515-6529
ISSN:	0012-365X
DOI:	10.1016/j.disc.2009.06.025
Popis:	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) and LEMTS(υ) were completely solved. In this paper, we shall discuss the existence problem of LEDTS(υ) and give the following conclusion: there exists an LEDTS(υ) for any even υ except υ=4. The existence of LEDTS(υ) with odd order υ will be discussed in another paper, we are working at it.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f128df5ae44060e7efde126a116dca5b Zobrazit plný text záznamu Full Text from ScienceDirect