arXiv
Open Access
2020
Collision free motion planning on a wedge of circles
Elif Sensoy
Abstrak
We exhibit an algorithm with continuous instructions for two robots moving without collisions on a track shaped as a wedge of three circles. We show that the topological complexity of the configuration space associated with this problem is 3. The topological complexity is a homotopy invariant that can be thought of as the minimum number of continuous instructions required to describe the movement of the robots between any initial configuration to any final one without collisions. The algorithm presented is optimal in the sense that it requires exactly 3 continuous instructions.
Penulis (1)
E
Elif Sensoy
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2020
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- en
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- arXiv
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- Open Access ✓