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A Light-Based Device for Solving the Hamiltonian Path Problem

机译:一种求解汉密尔顿道路问题的基于轻型装置

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In this paper we suggest the use of light for performing useful computations. Namely, we propose a special 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 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.
机译:在本文中,我们建议使用光来执行有用的计算。即,我们提出了一种特殊的装置,它使用光线来解决定向图中的Hamiltonian路径问题。该设备具有图形表示,并且灯通过节点之间的连接给出的路由来遍历它。在每个节点中,光线唯一标记,以便可以容易地识别它们。在目标节点,我们将仅搜索仅通过每个节点传递一次的特定光线。我们表明所提出的设备可以在合理的时间内解决问题的小和中等实例。

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