### Abstract

The no-three-in-line problem is one of unsolved problems in number theorem. The goal of the no-three-in-line problem is to locate 2N points on an N × N squares array where no three points are in line. The proposed algorithm uses N^{2} hysteresis McCulloch-Pitts neurons as the processing elements for the N × N array problem. Our neural network algorithm has discovered several different solutions for up to N = 25.

Original language | English |
---|---|

Pages (from-to) | 43-49 |

Number of pages | 7 |

Journal | Neurocomputing |

Volume | 8 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1995 May |

### Keywords

- Hysteresis Mc-Culloch-Pitts neuron
- Neural network algorithm
- No-three-in-line
- Unsolved problem

### ASJC Scopus subject areas

- Computer Science Applications
- Cognitive Neuroscience
- Artificial Intelligence

## Fingerprint Dive into the research topics of 'A neural network algorithm for the no-three-in-line problem'. Together they form a unique fingerprint.

## Cite this

Tsuchiya, K., & Takefuji, Y. (1995). A neural network algorithm for the no-three-in-line problem.

*Neurocomputing*,*8*(1), 43-49. https://doi.org/10.1016/0925-2312(94)00003-4