Further Results on Large Sets of Resolvable Idempotent Latin Squares

被引：6

作者：

Zhou, Junling ^{[1
]}

Chang, Yanxun ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Inst Math, Beijing 100044, Peoples R China

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 2012年 / 20卷 / 09期

关键词：

pairwise balanced design; large set; idempotent; Latin square; orthogonal; transversal;

D O I：

10.1002/jcd.21305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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, it is established that there exists an LRILS(v) for any positive integer v=3, except for v=6, and except possibly for v?{14,20,22,26,28,34,35,38,40,42,46,50,55,62}.

引用

页码：399 / 407

页数：9

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