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On The Area Of Hypercube Layouts, Ronald I. Greenberg, Lee Guan
On The Area Of Hypercube Layouts, Ronald I. Greenberg, Lee Guan
Ronald Greenberg
This paper precisely analyzes the wire density and required area in standard styles for the hypercube. It shows that the most natural, regular layout of a hypercube of N^2 nodes in the plane, in a NxN grid arrangement, uses floor(2N/3)+1 horizontal wiring tracks for each row of nodes. (In the process, we see that the number of tracks per row can be reduced by 1 with a less regular design, as can also be seen from an independent argument of Bezrukov et al.) This paper also gives a simple formula for the wire density at any cut position and a …
On The Area Of Hypercube Layouts, Ronald I. Greenberg, Lee Guan
On The Area Of Hypercube Layouts, Ronald I. Greenberg, Lee Guan
Computer Science: Faculty Publications and Other Works
This paper precisely analyzes the wire density and required area in standard styles for the hypercube. It shows that the most natural, regular layout of a hypercube of N^2 nodes in the plane, in a NxN grid arrangement, uses floor(2N/3)+1 horizontal wiring tracks for each row of nodes. (In the process, we see that the number of tracks per row can be reduced by 1 with a less regular design, as can also be seen from an independent argument of Bezrukov et al.) This paper also gives a simple formula for the wire density at any cut position and a …