Details

Autor(en) / Beteiligte

• Lei, Jian Guo
• Fan, Cui Ling
• Zhou, Jun Ling

Titel

Self-converse large sets of pure Mendelsohn triple systems

Ist Teil von

• Acta mathematica Sinica. English series, 2009-10, Vol.25 (10), p.1665-1680

Ort / Verlag

Heidelberg: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

Erscheinungsjahr

2009

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• A Mendelsohn triple system of order υ (MTS( υ )) is a pair ( X , ℬ ) where X is a υ -set and ℬ is a collection of cyclic triples on X such that every ordered pair of X belongs to exactly one triple of ℬ . An MTS( υ ) ( X , ℬ ) is called pure and denoted by PMTS( υ ) if 〈 x, y, z 〉 ∈ ℬ implies 〈 z, y, x 〉 ∉ ℬ . A large set of MTS( υ ) s (LMTS( υ )) is a collection of υ − 2 pairwise disjoint MTS( υ ) s on a υ -set. A self-converse large set of PMTS( υ ) s , denoted by LPMTS*( υ ), is an LMTS( υ ) containing ⌎ υ −2/2⌏ converse pairs of PMTS( υ ) s . In this paper, some results about the existence and non-existence for LPMTS*( υ ) are obtained.