Title of article
Large sets of resolvable idempotent Latin squares
Author/Authors
Zhou، نويسنده , , Junling and Chang، نويسنده , , Yanxun and Tian، نويسنده , , Zihong، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
8
From page
24
To page
31
Abstract
An idempotent Latin square of order v is called resolvable and denoted by RILS ( v ) if the v ( v − 1 ) off-diagonal cells can be resolved into v − 1 disjoint transversals. A large set of resolvable idempotent Latin squares of order v , briefly LRILS ( v ) , is a collection of v − 2 RILS ( v ) s pairwise agreeing on only the main diagonal. In this paper we display some recursive and direct constructions for LRILSs.
Keywords
Resolvable , Candelabra system , t -wise balanced design , Idempotent Latin square , Large set , Ordered design
Journal title
Discrete Mathematics
Serial Year
2011
Journal title
Discrete Mathematics
Record number
1599545
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