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

نویسندگان

  • Piotr Berman
  • Andrew B. Kahng
  • Devendra Vidhani
  • Alex Zelikovsky
چکیده

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 i u 2 T . We describe the applications of the T -join problem in sparse graphs to the phase assignment problem in VLSI mask layout and to conformal re nement of nite element meshes. We suggest a practical algorithm for the T join 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.

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تاریخ انتشار 1999