Transversals in Latin squares: a survey

IM Wanless - Surveys in combinatorics, 2011 - books.google.com
A latin square of order n is an n× n array of n symbols in which each symbol occurs exactly
once in each row and column. A transversal of such a square is a set of n entries containing …

在m 乘n 陣列裡的橫截

李張圳, 傅恆霖 - 2006 - ir.lib.nycu.edu.tw
當2≦ m≦ n, 一個m 乘n 的陣列是由m 個列和n 個行組成的mn 個格子. 在m 乘n
的陣列裡的一個部分橫截是收集m 個格子的集合, 這些格子是來自不同行不同列. 在m 乘n …

Transversals in m × n Arrays

HL Fu, CC Lee - Journal of Statistical Theory and Practice, 2012 - Springer
An m by n array consists of mn cells in m rows and n columns, where 2< m< n. A partial
transversal in an m by n array is a set of m cells, one from each row and no two from the …

Transversals in rectangular arrays

S Stein - The American Mathematical Monthly, 2010 - Taylor & Francis
1. INTRODUCTION. The main concept in this paper goes back to two works of Euler:“De
Quadratis Magicis” of 1776 [4] and “Recherches sur une Nouvelle Espece de Quarres …

[PDF][PDF] Transversals in Rectangles

GHJ van Rees - JCMCC-Journal of Combinatorial Mathematicsand …, 2012 - Citeseer
Let L (m; n) be the largest integer such that, if each symbol in an m¢ n rectangle occurs at
most L (m; n) times, then the array must have a transversal. We improve the lower bound to L …

[引用][C] Finding Transversals in mxn Rectangles

GHJ van Reesa