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A Tight Layout of the Cube-Connected Cycles  (Make Corrections)  
Guihai Chen, Francis C.M. Lau



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Abstract: Preparata and Vuillemin proposed the cubeconnected cycles (CCC) in 1981 [16], and in the same paper, gave an asymptotically-optimal layout scheme for the CCC. We give a new layout scheme for the CCC which requires less than half of the area of the Preparata-Vuillemin layout. We also give a non-trivial lower bound on the layout area of the CCC. There is a constant factor of 2 between the new layout and the lower bound. We conjecture that the new layout is optimal (minimal). Keywords:... (Update)

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BibTeX entry:   (Update)

@misc{ chen-tight,
  author = "Guihai Chen and Francis C.M. Lau",
  title = "A Tight Layout of the Cube-Connected Cycles",
  url = "citeseer.ist.psu.edu/38110.html" }
Citations (may not include all citations):
981   Introduction to Parallel Algorithms and Architectures: Array.. (context) - Leighton - 1992
221   Introduction to VLSI Systems (context) - Mead, Conway - 1980
124   The cubeconnected cycles: A versatile network for parallel c.. (context) - Preparata, Vuillemin - 1981
86   A framework for solving VLSI graph layout problem - Bhatt, Leighton - 1984
64   Area-time complexity for VLSI (context) - Thompson - 1979
48   Group action graphs and parallel architecture (context) - Annexstein, Baumslag et al. - 1990
37   A unified theory of interconnection network structure - Kruskal, Snir - 1986
23   Complexity Issues in VLSI: Optimal Layout for the Shuffle-Ex.. (context) - Leighton - 1983
14   A tight layout of the butterfly network - Avior, Calamoneri et al. - 1996
13   The flip network in STARAN (context) - Batcher - 1976
12   Channel routing in knock-knee mode: Simplified algorithms an.. (context) - Mehlhorn, Preparata et al. - 1986
10   Compact layouts of Banyan/FFT networks (context) - Wise - 1981
7   Processor networks and interconnection networks without long.. (context) - Beigel, Kruskal - 1989
3   Equivalence between cube-connected cycles networks and circu.. (context) - Jain - 1986
3   CMU Computer Science Department (context) - Thompson, Theory et al. - 1980
3   IEEE Transactions on Parallel and Distributed Systems (context) - Lau, Chen et al. - 1996
1   Cubical bus connected columns: An alternative to hypercube (context) - Bhattacharya, Liang et al. - 1991
1   a new family of Cayley graph interconnection networks of con.. (context) - Chen, Lau
1   Yield enhancement designs for wsi cube connected cycles (context) - Shen, Koren - 1989

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