Classifying partial Latin rectangles

作     者：Falcón, Raúl M. Stones, Rebecca J. 

作者机构：Department of Applied Mathematics I University of Seville Seville Spain College of Computer and Control Engineering Nankai University Tianjin China 

出 版 物：《Electronic Notes in Discrete Mathematics》 (Electron. Notes Discrete Math.)

年 卷 期：2015年第49卷

页      面：765-771页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Science Foundation  NSF  (11450110409) 

主　　题：Autotopism group Conjugacy Partial Latin rectangle 

摘      要：Isotopisms of the set Rr,s,n of r× s partial Latin rectangles based on n symbols constitute a finite group that acts on this set by permuting rows, columns and symbols. The number of partial Latin rectangles preserved by this action only depends on the conjugacy classes of these permutations. In this paper, the distribution of the isotopism group into conjugacy classes is considered in order to determine the distribution of Rr,s,n into isomorphism and isotopism classes, for all r, s, n≤ 6. © 2015 Elsevier B.V.