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  • Size is defined by a factor * k* k, the number of ports per identical switch in the network
  • 3-level heirarchy:
    • core level ((k/2)^2 switches)
    • pod level (k pods)
      • each pod has 2 internal layers with (k/2 switches/layer => k switches/pod)
    • end host level (k^3/3 total hosts)
  • k

    # hosts

    # switches

    • *# ports

    host:switch ratio

    host:port ratio

    4

    16

    20

    80

    0.8

    0.2

    8

    128

    80

    640

    1.6

    0.2

    16

    1,024

    320

    5,120

    3.2

    0.2

    32

    8,192

    1,280

    40,960

    6.4

    0.2

    48

    27,648

    2,880

    138,240

    9.6

    0.2

    64

    65,536

    5,120

    327,680

    12.8

    0.2

    96

    221,184

    11,520

    1,105,920

    19.2

    0.2

    128

    524,288

    20,480

    2,621,440

    25.6

    0.2