Neural Processing Letters

, Volume 3, Issue 3, pp 139–149 | Cite as

Neural network for optimal steiner tree computation

  • Chotipat Pornavalai
  • Norio Shiratori
  • Goutam Chakraborty


Hopfield neural network model for finding the shortest path between two nodes in a graph was proposed recently in some literatures. In this paper, we present a modified version of Hopfield model to a more general problem of searching an optimal tree (least total cost tree) from a source node to a number of destination nodes in a graph. This problem is called Steiner tree in graph theory, where it is proved to be a NP-complete. Through computer simulations, it is shown that the proposed model could always find an optimal or near-optimal valid solution in various graphs.

Key words

Steiner tree neural networks Hopfield model optimization 


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Chotipat Pornavalai
    • 1
  • Norio Shiratori
    • 1
  • Goutam Chakraborty
    • 2
  1. 1.Research Institute of Electrical CommunicationTohoku UniversitySendaiJapan
  2. 2.Software CenterThe University of AizuAizu-Wakamatsu cityJapan

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