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The energy of a graph is defined as the sum of the absolute values of its eigenvalues. Let be the class of connected bipartite graphs with exactly two vertex-disjoint cycles. The graphs with minimal energies in is determined by [18]. In this paper, we determine the second to sixth graphs with minimal energy in the above ordering.
Mehrotra-type predictor-corrector algorithms are the backbone of most interior point methods based software packages. Recently Salahiet al. have considered a variant of Mehrotra's celebrated predictor-corrector algorithm for linear optimization problem. By a numerical example they showed that this variant might make verysmall steps in order to keep the iterate in a certain neighborhood of the central...
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