Abstract
We consider the problem of determining the minimum and maximum of the sum of the elements of the square of a matrix for the following classes of matrices:the (0, l)-matrices of order n with a specified number of l's; the symmetric (0,1)-matrices of order n with zero trace and with a specified number of l's above the main diagonal (adjacency matrices of graphs with a specified number of edges); and the subset of the latter consisting of adjacency matrices of connected graphs.
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