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. Hagedorn | 1 | 8 | 3.05 |