Quiz Question - May 15

You are the CEO of Mzidia, a top-tier chip developer. In order to design the next generation of consumer GPUs, you have a spec for 3'500'000'000 nodes per chip. It is mandatory for the chips to be robust against both random failures and directed attacks (by hackers). You can add these properties to your chips:

1. The degree distribution of the circuit nodes set to follow a scale-free distribution.

2. The degree distribution of the circuit nodes set to follow a bimodal distribution.

3. \(\langle k \rangle\) set to be 4.

4. \(\langle k \rangle\) set to be 2.

5. \(k_{max}\) set to be 3'196'697.

6. \(k_{max}\) set to be 7'958'114.


What is your design choice?

A) 2, 3 and 6.

B) 1, 3 and 6.

C) 2, 3 and 5.

D) 1, 4 and 5.

E) None of the above.


Original idea by: Rafael Brusiquesi Martins

Comentários

  1. Interesting question, but in a bimodal distribution, aiming at maximal robustness, you know, we'll never get exactly an integer. So, I tend to think that the answer is E. But at the same time I think D is a good choice, because then with k_min = 4 we get a pretty robust network, with pretty close to 4. Alternative C does not lead to a network since then (assuming k_min=4) we have the sum of the degrees being an odd number. In doubt, I'll let this question pass.

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