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Generalized Diameters and Rabin Numbers of Networks

Author

Listed:
  • Sheng-Chyang Liaw

    (National Chiao Tung University)

  • Gerard J. Chang

    (National Chiao Tung University)

Abstract

Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w − 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to measure network reliability and efficiency. In this paper, we study dw(G), Dw(G) and rw(G) using the strong w-Rabin number rw *(G) for 1 ≤ w ≤ k(G) and G is a circulant network G(dn; {1, d,..., dn −1}), a d-ary cube network C(d, n), a generalized hypercube GH(mn − 1,..., m0), a folded hypercube FH(n) or a WK-recursive network WK(d, t).

Suggested Citation

  • Sheng-Chyang Liaw & Gerard J. Chang, 1998. "Generalized Diameters and Rabin Numbers of Networks," Journal of Combinatorial Optimization, Springer, vol. 2(4), pages 371-384, December.
    • Handle: RePEc:spr:jcomop:v:2:y:1998:i:4:d:10.1023_a:1009728720073
    DOI: 10.1023/A:1009728720073
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    Cited by:

    1. Chitra Balasubramaniam & Sergiy Butenko, 2017. "On robust clusters of minimum cardinality in networks," Annals of Operations Research, Springer, vol. 249(1), pages 17-37, February.
    2. Sun-Yuan Hsieh & Pei-Yu Yu, 2007. "Fault-free mutually independent Hamiltonian cycles in hypercubes with faulty edges," Journal of Combinatorial Optimization, Springer, vol. 13(2), pages 153-162, February.

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