On the x-and-y-axes travelling salesman problem
نویسندگان
چکیده
This paper deals with a special case of the Euclidean Travelling Salesman Problem known as the x-and-y-axes TSP. In this special case, all cities are situated on the x-axis and on the y-axis of an orthogonal coordinate system for the Euclidean plane. We show that the problem can be solved in O(n) time.
منابع مشابه
The x-and-y-axes travelling salesman problem
The x-and-y-axes travelling salesman problem forms a special case of the Euclidean TSP, where all cities are situated on the x-axis and on the y-axis of an orthogonal coordinate system of the Euclidean plane. By carefully analyzing the underlying combinatorial and geometric structures, we show that this problem can be solved in polynomial time. The running time of the resulting algorithm is qua...
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