Question: Consider an uneven 3D- Torus network with N=96 processors. Each processor attached to the switch is identified as (x,y,z). There are 4 nodes in the

Consider an uneven 3D- Torus network with N=96 processors. Each processor attached to the switch is identified as (x,y,z). There are 4 nodes in the x-direction , 4 nodes in y-direction and 6 nodes in z-direction. Assume 2 unidirectional links connecting a pair of switches. Answer the following subparts:

  1. What is the degree, d of the network?
  2. What is the diameter, D of the network?
  3. What is the bisection width, BW of the network in terms of unidirectional links?
  4. What is the total number of links in the network? (Consider all links to be bidirectional)
  5. Using E-cube routing. Indicate the direction as well as the number of hops for routing from (2,0,5) to (0,3,1). Indicate all intermediate nodes.

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