The theory and application of latin bitrades: A survey

Mathematica Slovaca

Nicholas Cavenagh¹ 

关键词: latin square;    latin bitrade;    latin trade;    critical set;    random latin square;    bachelor latin square;   

DOI  :  10.2478/s12175-008-0103-2

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

A latin bitrade is a pair of partial latin squares which are disjoint, occupy the same set of non-empty cells, and whose corresponding rows and columns contain the same sets of symbols. This survey paper summarizes the theory of latin bitrades, detailing their applications to critical sets, random latin squares and existence constructions for latin squares.

【 授权许可】

Unknown