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Subclass of the Steiner problems on a plane with rectilinear metric

โœ Scribed by V. A. Trubin


Publisher
Springer US
Year
1986
Tongue
English
Weight
689 KB
Volume
21
Category
Article
ISSN
1573-8337

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The Steiner tree problem for terminals o
โœ Siu-Wing Cheng ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 233 KB

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