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