On the energy of ( 0 , 1 )-matrices

  title={On the energy of ( 0 , 1 )-matrices},
  author={Hadi Kharaghani and Behruz Tayfeh-Rezaie},
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. AMS Subject Classification: 05C50, 05B05, 05B20.