Fully-connected networks with local connections

P. E. Kornilovitch, R. N. Bicknell, J. S. Yeo

Research output: Contribution to journalArticlepeer-review


Fully-connected mesh networks with local connections are described. Each connector links only nearest neighbors of the node lattice and carries enough passive pass-through vias to provide direct one-to-one links between all the nodes. If the nodes form a one-dimensional ring, then each connector must contain at least N(N-1)/2 physical channels. However, if the nodes are arranged in a d-dimensional hyper-torus, the number of channels per connector drops to N(N 1/d -1)/2, which scales much more favorably at large N. Such arrangements can provide fully-meshed connectivity when parts of the network are physically inaccessible or when the network needs to be scaled up in a modular fashion.

Original languageEnglish
Pages (from-to)999-1004
Number of pages6
JournalApplied Physics A: Materials Science and Processing
Issue number4
Publication statusPublished - 2009 Jun

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • General Materials Science


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