You can get there from here: connectivity of random graphs on grids

  • Authors:
  • Steven P. Levitan

  • Affiliations:
  • University of Pittsburgh, Pittsburgh, PA

  • Venue:
  • Proceedings of the 44th annual Design Automation Conference
  • Year:
  • 2007

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Abstract

Using random graphs, we address the need for non-local communication channels in emerging nanotechnology interconnection structures. In this model, a grid of √N × √N processing elements are connected by non-local wires, which are fabricated as a post processing self-assembly step by electro-chemical migration of functionalized carbon nanotubes. We show that under reasonable assumptions, 80% of the cells can be connected into a single spanning tree with only N wires deposited randomly across the surface of the substrate.