A new product construction for large sets of resolvable Mendelsohn triple systems

作者：Zhao Hongtao^*

来源：Ars Combinatoria, 2010, 96: 385-394.

• Large set
• Resolvable Mendelsohn triple system
• Transitive resolvable idempotent quasigroup
• LR-design

A large set of resolvable Mendelsohn triple systems of order v, denoted by LRMTS(v), is a collection of v - 2 RMTS(v)s based on v-set X, such that every Mendelsohn triple of X occurs as a block in exactly one of the v - 2 RMTS(v)s. In this paper, we use TRIQ and LR-design to present a new product construction for LRIVITS(v)s. This provides some new infinite families of LRMTS(v)s.

• 出版日期2010-7
• 单位华北电力大学