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Min-cut replication in partitioned networks

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2 Author(s)
Hwang, L.J. ; Inf. Syst. Lab., Stanford Univ., CA, USA ; El Gamal, A.

Logic replication has been shown empirically to reduce pin count and partition size in partitioned networks. This paper presents the first theoretical treatment of the min-cut replication problem, which is to determine replicated logic that minimizes cut size. A polynomial time algorithm for determining min-cut replication sets for k-partitioned graphs is derived by reducing replication to the problem of finding a maximum flow. The algorithm is extended to hypergraphs and replication heuristics are proposed for the NP-hard problem with size constraints on partition components. These heuristics, which reduce the worst-case running time by a factor of O(k2) over previous methods, are applied to designs that have been partitioned into multiple FPGA's. Experimental results demonstrate that min-cut replication provides substantial reductions in the numbers of FPGA's and pins required

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:14 ,  Issue: 1 )