Completing the spectrum for large sets of extended directed triple systems

Autor:	Qingde Kang, Yuanyuan Liu
Rok vydání:	2015
Předmět:	Combinatorics Discrete mathematics Large set (Ramsey theory) Simple (abstract algebra) Spectrum (functional analysis) Discrete Mathematics and Combinatorics Theoretical Computer Science Mathematics
Zdroj:	Discrete Mathematics. 338:1573-1576
ISSN:	0012-365X
DOI:	10.1016/j.disc.2015.04.003
Popis:	Extended triple systems are firstly introduced by Johnson and Mendelson (1972). The existence of the large sets of extended directed triple systems L E D T S ( 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 L E D T S ( 12 k + 11 ) is very complicated. In this paper, we give a simple existence proof and get the existence of L E D T S s for the remaining five orders. Finally, the spectrum for L E D T S s is completely determined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e374ca25aef94bdb099af27db04fd133 https://doi.org/10.1016/j.disc.2015.04.003 Zobrazit plný text záznamu Full Text from ScienceDirect