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Content available remote An algorithm for 1-space bounded cube packing
EN
In this paper, we present a 1-space bounded cube packing algorithm with asymptotic competitive ratio 10.872.
2
Content available remote A survey of hard-to-color graphs for off-line and on-line model of vertex coloring
EN
In the paper we review the most popular on-line and off-line graph coloring algorithms. For each algorithm we give: short description. performance guarantee, the smallest HC and slightly HC graphs, positive cases and negative cases. Finally, we give the smallest benchmark for off-line sequential algorithms and the smallest weak benchmark for on-line algorithms.
EN
An on-line algorithm that uses an adaptive learning rate is proposed. Its development is based on the analysis of the convergence of the conventional gradient descent method for three-layer BP neural networks. The effectiveness of the proposed algorithm applied to the identification and prediction of behavior of non-linear dynamic systems is demonstrated by simulation experiments.
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