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IPM
30
YEARS OLD

“School of Mathematics”

Paper   IPM / M / 8850
   School of Mathematics
  Title: On the energy of (0, 1)-matrices
  Author(s):
1 . H. Kharaghani
2 . B. Tayfeh-Rezaie
  Status: Published
  Journal: Linear Algebra Appl.
  Vol.: 429
  Year: 2008
  Pages: 2046-2051
  Supported by: IPM
  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.

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