Proceedings of the 2001 international symposium on Physical design
Quality of EDA CAD Tools: Definitions, Metrics and Directions
ISQED '00 Proceedings of the 1st International Symposium on Quality of Electronic Design
An approach to placement-coupled logic replication
Proceedings of the 41st annual Design Automation Conference
SAT-based optimal hypergraph partitioning with replication
ASP-DAC '06 Proceedings of the 2006 Asia and South Pacific Design Automation Conference
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Logic replication has been shown to be very effective in reducing the number of cut nets in partitioned circuits. Liu et al. (see IEEE Trans. Computer-Aided Design, vol. 14, p. 623-30, May 1995) considered the circuit partitioning problem with logic replication for separating two given nodes and presented an algorithm to determine a partitioning of the minimum possible cut size. In general, there are many possible partitioning solutions with the minimum cut size and the difference in the required amount of replication by these solutions can be significant. Since there is a size constraint on each component of the partitioning in practice, it is desirable to also minimize the amount of replication. In this paper, we present a network-flow based algorithm to determine an optimum replication min-cut partitioning that requires minimum replication. We show that the algorithm can be generalized to separate two given subsets of nodes giving an optimum partitioning of the minimum possible cut size using the least possible amount of replication. We also show that our algorithm can be used to improve the solutions produced by any existing size-constrained replication min-cut partitioning algorithm by reducing the cut size and shrinking the replication set