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Cyclic-Cubes: A New Family of Interconnection Networks of Even Fixed-Degrees (1998)  (Make Corrections)  (2 citations)
Ada Wai-Chee Fu, Siu-Cheung Chau
IEEE Transactions on Parallel and Distributed Systems



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Abstract: We introduce a new family of interconnection networks that are Cayley graphs with fixed degrees of any even number greater than or equal to 4. We call the proposed graphs cyclic-cubes because contracting some cycles in such a graph results in a generalized hypercube. These Cayley graphs have optimal fault tolerance and logarithmic diameters. For comparable number of nodes, a cyclic-cube can have a diameter smaller than previously known fixed-degree networks. The proposed graphs can adopt an... (Update)

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BibTeX entry:   (Update)

A. Fu and S. Chau, \Cyclic Cubes: A New Family of Interconnection Networks of Even Fixed Degree," IEEE Trans. on Parallel and Dist. Systems, vol. 9, #12, pp. 1253-1268, Dec. 1998. http://citeseer.ist.psu.edu/fu98cycliccubes.html   More

@article{ fu98cycliccubes,
    author = "A. W-c. Fu and S.-C. Chau",
    title = "Cyclic-Cubes: {A} New Family of Interconnection Networks of Even Fixed-Degrees",
    journal = "IEEE Transactions on Parallel and Distributed Systems",
    volume = "9",
    number = "12",
    pages = "253--??",
    year = "1998",
    url = "citeseer.ist.psu.edu/fu98cycliccubes.html" }
Citations (may not include all citations):
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47   Zur allgemeinen kurventheorie (context) - Menger - 1927
31   Symmetry in interconnection networks based on cayley graphs .. (context) - Lakshmivarahan, Jwo et al. - 1993
17   Lee distance and topological properties of k-ary n-cubes (context) - Bose, Broeg et al. - 1995
17   Applied Combinatorics (context) - Tucker - 1984
14   On group graphs and their fault tolerance (context) - Akers, Krishnamurthy - 1987
12   Enhanced hypercubes (context) - Tzeng, Wei - 1991
11   Cayley graphs with optimal fault tolerance (context) - Alspach - 1992
7   A new family of Cayley graph interconnection networks of con.. - Vadapalli, Srimani - 1996

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