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A polynomial time algorithm for rectilinear Steiner trees with terminals constrained to curves

✍ Scribed by Brazil, M.; Thomas, D. A.; Weng, J. F.


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
168 KB
Volume
33
Category
Article
ISSN
0028-3045

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✦ Synopsis


The rectilinear Steiner problem is the problem of constructing the shortest rectilinear network in the plane connecting a given set of points, called terminals. The problem is known to be NP-complete in general. In this paper, we show that there is a polynomial time algorithm for solving the rectilinear Steiner problem for the case where terminals are constrained to lie on almost any fixed set of simple disjoint compact curves.