Graph based analysis of FPGA routing

Abstract
The experimental results of FPGA (field programmable gate array) routing suggest that there are difficulties in mapping global routing to a predictable detailed routing for array type architectures. The authors develop a graph theoretical formulation of this mapping problem and show that it is NP-complete for both multi-pin net lists and two-pin net lists for the Xilinx-like routing model. They present two changes in the routing architecture such that each of them yields a predictable mapping of global routing to the optimal detailed routing. The results suggest a novel approach to array type FPGA routing.

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