双向最小曼哈顿网络问题
Bidirected minimum Manhattan network problem
摘要:
在双向最小Manhattan网络问题中,给定一个平面上的n个终端的集合T,我们需要构造一个网络N(T),它的总长度最小,且N(T)的边是轴平行的,并且N(T)中的每一个有序终端对都通过一条有向Manhattan路连接。提出了求解双向最小Manhattan网络问题的多项式因子2近似算法。
英文摘要:
In the bidirected minimum Manhattan network problem, given a set T of n terminals in the plane, we need to construct a network N(T) of minimum total length with the property that the edges of N(T) are axis-parallel and oriented in a such a way that every ordered pair of terminals is connected in N(T) by a directed Manhattan path. In this paper, we present a polynomial factor 2 approximation algorithm for the bidirected minimum Manhattan network problem.
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