Shortest paths computation of graph by neural networks in real time

Zhu Daming, Ma Shaohan · 2002

A new kind of neural networks on solving shortest paths problem is presented, and the stability of the neural networks is proved. For a directed or undirected graph, the proposed neural network is always convergent to its single equilibrium, so that the shortest paths between every pair of nodes of the oriented graph are produced. This paper makes a new study on solving the optimization but not NP-hard problems by neural networks.

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