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 N2 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
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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