Title of article
On the energy of (0, 1)-matrices Original Research Article
Author/Authors
H. Kharaghani، نويسنده , , B. Tayfeh-Rezaie، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
6
From page
2046
To page
2051
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.
Keywords
Bipartitegraphs , Energy of graphs , Hadamard matrices , Energy of matrices , Balanced incomplete block designs
Journal title
Linear Algebra and its Applications
Serial Year
2008
Journal title
Linear Algebra and its Applications
Record number
826126
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