### Abstract

Hopfield neural network model for finding an optimal or 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 find an optimal tree (least total cost tree) from a source node to a number of destination nodes, where each path from source to a destination must satisfy a constraint condition (delay bound condition). This problem is called Constrained Steiner Tree (CST) problem, and was proved to he a NP-complete. A new adaptive coefficient control method for the proposed Hopfield energy function is also developed. Through computer simulation, it is shown that the proposed model could always find a near-optimal valid solution.

Original language | English |
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Title of host publication | IEEE International Conference on Neural Networks - Conference Proceedings |

Place of Publication | Piscataway, NJ, United States |

Publisher | IEEE |

Pages | 1867-1870 |

Number of pages | 4 |

Volume | 4 |

Publication status | Published - 1995 |

Event | Proceedings of the 1995 IEEE International Conference on Neural Networks. Part 1 (of 6) - Perth, Aust Duration: 1995 Nov 27 → 1995 Dec 1 |

### Other

Other | Proceedings of the 1995 IEEE International Conference on Neural Networks. Part 1 (of 6) |
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City | Perth, Aust |

Period | 95/11/27 → 95/12/1 |

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### ASJC Scopus subject areas

- Software

### Cite this

*IEEE International Conference on Neural Networks - Conference Proceedings*(Vol. 4, pp. 1867-1870). IEEE.