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Reductions for the rectilinear steiner tree problem

✍ Scribed by Pawel Winter


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
842 KB
Volume
26
Category
Article
ISSN
0028-3045

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Given a simple rectilinear polygon P with k sides and n terminals on its boundary, we present an O(k 3 n)-time algorithm to compute the minimal rectilinear Steiner tree lying inside P interconnecting the terminals. We obtain our result by proving structural properties of a selective set of minimal S

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The rectilinear Steiner tree problem in the plane is to construct a minimum-length tree interconnecting a set of points (called terminals) consisting of horizontal and vertical line segments only. Rectilinear Steiner minimum trees (RSMTs) can today be computed quickly for realistic instances occurri