Magic rectangles revisited

被引：32

作者：

Hagedorn, TR ^{[1
]}

机构：

[1] Coll New Jersey, Dept Math & Stat, Ewing, NJ 08628 USA

来源：

DISCRETE MATHEMATICS | 1999年 / 207卷 / 1-3期

关键词：

magic squares; magic rectangles;

D O I：

10.1016/S0012-365X(99)00041-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Magic rectangles are a generalization of magic squares that have been recently investigated by Bier and Rogers (European J. Combin. 14 (1993) 285-299); and Bier and Kleinschmidt (Discrete Math. 176 (1997) 29-42). In this paper, we present a new, simplified proof of the necessary and sufficient conditions for a magic rectangle to exist. We also show that magic rectangles, under the natural multiplication, have a unique factorization as a product of irreducible magic rectangles. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：65 / 72

页数：8

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