Another product construction for large sets of resolvable directed triple systems
The electronic journal of combinatorics, Tome 16 (2009) no. 1
A large set of resolvable directed triple systems of order $v$, denoted by LRDTS$(v)$, is a collection of $3(v-2)$ RDTS$(v)$s based on $v$-set $X$, such that every transitive triple of $X$ occurs as a block in exactly one of the $3(v-2)$ RDTS$(v)$s. In this paper, we use DTRIQ and LR-design to present a new product construction for LRDTS$(v)$s. This provides some new infinite families of LRDTS$(v)$s.
DOI :
10.37236/203
Classification :
05B07
Mots-clés : resolvable directed triple systems, product construction
Mots-clés : resolvable directed triple systems, product construction
@article{10_37236_203,
author = {Hongtao Zhao},
title = {Another product construction for large sets of resolvable directed triple systems},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {1},
doi = {10.37236/203},
zbl = {1186.05029},
url = {http://geodesic.mathdoc.fr/articles/10.37236/203/}
}
Hongtao Zhao. Another product construction for large sets of resolvable directed triple systems. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/203
Cité par Sources :