| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602336 | Linear Algebra and its Applications | 2008 | 6 Pages |
Abstract
The energy of a matrix is the sum of its singular values. We study the energy of (0, 1)-matrices and present two methods for constructing balanced incomplete block designs whose incidence matrices have the maximum possible energy amongst the family of all (0, 1)-matrices of given order and total number of ones. We also find a new upper bound for the energy of (p, q)-bipartite graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
