NDLI: Rectilinear group Steiner trees and applications in VLSI design

Content Provider	Springer Nature Link
Author	Zachariasen, Martin Rohe, André
Copyright Year	2002
Abstract	Given a set of disjoint groups of points in the plane, the rectilinear group Steiner tree problem is the problem of finding a shortest interconnection (under the rectilinear metric) which includes at least one point from each group. This is an important generalization of the well-known rectilinear Steiner tree problem which has direct applications in VLSI design: in the detailed routing phase the logical units typically allow the nets to connect to several electrically equivalent ports. We present a first (tailored) exact algorithm for solving the rectilinear group Steiner tree problem (and related variants of the problem). The algorithm essentially constructs a subgraph of the corresponding Hanan grid on which existing algorithms for solving the Steiner tree problem in graphs are applied. The reductions of the Hanan grid are performed by applying point deletions and by generating full Steiner trees on the remaining points. Experimental results for real-world VLSI instances with up to 100 groups are presented.
Starting Page	407
Ending Page	433
Page Count	27
File Format	PDF
ISSN	00255610
Journal	Mathematical Programming
Volume Number	94
Issue Number	2-3
e-ISSN	14364646
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-01-01
Publisher Place	Berlin Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Mathematics Software

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Rectilinear group Steiner trees and applications in VLSI design