Tighter Layouts of the Cube-Connected Cycles

  • Authors:
  • Guihai Chen;Francis C. M. Lau

  • Affiliations:
  • Nanjing Univ., Nanjing, China;Univ. of Hong Kong, Hong Kong, China

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 2000

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Abstract

Preparata and Vuillemin proposed the cube-connected cycles (${\cal {CCC}}$) and its compact layout in 1981 [17]. We give a new layout of the ${\cal {CCC}}$ which uses less than half the area of the Preparata-Vuillemin layout. We also give a lower bound on the layout area of the ${\cal {CCC}}$. The area of the new layout deviates from this bound by a small constant factor. If we 驴unfold驴 the cycles in the ${\cal {CCC}}$, the resulting structure can be laid out in optimal area.