Produces an antimagic square of order \(m\) using
Gray and MacDougall's method.
Usage
sam(m, u, A=NULL, B=A)
Arguments
m
Order of the magic square (not “n”: the
terminology follows Gray and MacDougall)
u
See details section
A,B
Start latin squares, with default NULL meaning to
use circulant(m)
Details
In Gray's terminology, sam(m,n) produces a
\(SAM(2m,2u+1,0)\).
The method is not vectorized.
To test for these properties, use functions such as
is.antimagic(), documented under is.magic.Rd.
References
I. D. Gray and J. A. MacDougall 2006. “Sparse anti-magic squares
and vertex-magic labelings of bipartite graphs”, Discrete
Mathematics, volume 306, pp2878-2892