Title
Magic rectangles revisited
Abstract
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.
Year
DOI
Venue
1999
10.1016/S0012-365X(99)00041-2
Discrete Mathematics
Keywords
Field
DocType
magic rectangle,05b15,magic squares,magic rectangles,magic square
Discrete mathematics,Combinatorics,Magic constant,Rectangle,Multiplication,Unique factorization domain,Magic (paranormal),Magic square,Mathematics
Journal
Volume
Issue
ISSN
207
1-3
Discrete Mathematics
Citations 
PageRank 
References 
4
0.78
0
Authors
1
Name
Order
Citations
PageRank
Thomas R. Hagedorn183.05