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单词 Rectilinear Steiner tree
释义

Rectilinear Steiner tree

英语百科

Rectilinear Steiner tree

Hanan grid for a 5-vertex case
A MSTST

The rectilinear Steiner tree problem, minimum rectilinear Steiner tree problem (MRST), or rectilinear Steiner minimum tree problem (RSMT) is a variant of the geometric Steiner tree problem in the plane, in which the Euclidean distance is replaced with the rectilinear distance. The problem may be formally stated as follows: given n points in the plane, it is required to interconnect them all by a shortest network which consists only of vertical and horizontal line segments. It can be shown that such a network is a tree whose vertices are the input points plus some extra points (Steiner points).

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更新时间:2025/6/19 3:10:23