Title of article
New large sets of resolvable Mendelsohn triple systems
Author/Authors
Zhou، نويسنده , , Junling and Chang، نويسنده , , Yanxun، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
9
From page
27
To page
35
Abstract
An LRMTS ( v ) is a large set consisting of v − 2 pairwise disjoint resolvable Mendelsohn triple systems defined over the same v -element set. In this paper a new product construction for LRMTS is displayed by using generalized LR-designs. As well, several new existence families of LRMTS are constructed via 3-wise balanced designs. Finally the existence result of LRMTS is expanded by combining all the known constructions.
Keywords
Mendelsohn triple system , Large set , 3-wise balanced design , Resolvable , Generalized LR-design
Journal title
Discrete Mathematics
Serial Year
2014
Journal title
Discrete Mathematics
Record number
1600681
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