The T-join Problem in Sparse Graphs: Applications to Phase Assignment Problem in VLSI Mask Layout

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1663)


Given a graph G with weighted edges, and a subset of nodes T, the T-join problem asks for a minimum weight edge set A such that a node u is incident to an odd number of edges of A iff uT. We describe the applications of the T-join problem in sparse graphs to the phase assignment problem in VLSI mask layout and to conformal refinement of finite element meshes. We suggest a practical algorithm for the Tjoin problem. In sparse graphs, this algorithm is faster than previously known methods. Computational experience with industrial VLSI layout benchmarks shows the advantages of the new algorithm.


Planar Graph Perfect Match Dual Graph Sparse Graph Conflict Graph 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  1. 1.Dept. of Computer Science and EngineeringPennsylvania State UniversityUniversity Park
  2. 2.Department of Computer ScienceUniversity of California at Los AngelesLos Angeles
  3. 3.Department of Computer ScienceGeorgia State University, University PlazaAtlanta

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