A replication cut for two-way partitioning

  • Authors:
  • Lung-Tien Liu;Ming-Ter Kuo;Chung-Kuan Cheng;T. C. Hu

  • Affiliations:
  • AT&T Bell Labs., Murray Hill, NJ;-;-;-

  • Venue:
  • IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
  • Year:
  • 2006

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Abstract

Graph partitioning is crucial in multiple-chip design, floorplanning and mapping large logic networks into multiple FPGA's. Replication logic can be used to improve the partitioning. Given a network G with only two-pin nets and a pair of nodes s and t to be separated, we introduce a replication graph and an O(mn log(n2/m)) algorithm for optimum partitioning with replication and without size constraints, where m and n denote the number of nets and the number of nodes in G, respectively. In VLSI designs, each partition has size constraints and the given network contains multiple-pin nets. A heuristic extension is adopted to construct replication graphs with multiple-pin nets. Then we use a directed Fiduccia-Mattheyses algorithm in the constructed replication graph to solve the replication cut problem with size constraints