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Shaun Fallat - Maximum determinant of (0,1)-matrices with certain constant row and column sums
| SHAUN FALLAT, Department of Mathematics, College of William and Mary, Williamsburg, Virginia 23187, USA | |
| Maximum determinant of (0,1)-matrices with certain constant row and column sums |
The maximum absolute value of the determinant of 
nonsingular (0,1)-matrices that have constant line sums
(i.e., row sums and column sums) k is investigated.
For 
, k=2, this maximum determinant is determined.
A lower bound for the maximum absolute value of the determinant
for k=3 is also given, but in general this bound is not tight.
Other determinantal values and bounds for specific n and k
are provided. This is joint work with Professor Pauline
van den Driessche.
eo@camel.math.ca
