Solving the Hamiltonian path problem with a light-based computer

Details Solving the Hamiltonian path problem with a light-based computer Solving the Hamiltonian path problem with a light-based computer

2007-08-10

arxiv.org/abs/0708.1512v1

Natural Computing, Springer, Vol 6, 2007

Computer Science

Hardware Architecture

17 pages, Natural Computing journal

Scientific paper

10.1007/s11047-007-9042-z

In this paper we propose a special computational device which uses light rays for solving the Hamiltonian path problem on a directed graph. The device has a graph-like representation and the light is traversing it by following the routes given by the connections between nodes. In each node the rays are uniquely marked so that they can be easily identified. At the destination node we will search only for particular rays that have passed only once through each node. We show that the proposed device can solve small and medium instances of the problem in reasonable time.

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