MathJax


Monday, October 11, 2021

2021-062

Given two networks G1 and G2 generated by the Barabási-Albert model with \( N = 1000 \) and \( N = 100 \) nodes, respectively, find out which network likely has the smallest diameter. Also, give their expected diameters, rounded to two decimal places.

  1. G1 has the smallest diameter, 6.29, while G2 has diameter 6.64
  2. G2 has the smallest diameter, 3.02, while G1 has diameter 3.57
  3. G1 has the smallest diameter, 3.22, while G2 has diameter 5.44
  4. G2 has the smallest diameter, 5.31, while G1 has diameter 5.44
  5. None of the above

Original idea by: Victor Antonio Menuzzo

at
Labels:

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

2026-344

In a Barabási-Albert model with   m   = 2, node A is added at time tA= 1 and node B at time tB = 4, as illustrated in the Figure. Here tA an...

  • 2021-028
     When a Bianconi-Barabási model reduces to a Barabási-Albert model? When the degree distribution is a normal distribution When the fitnes...
  • 2022-092
    Read the statements about clustering coefficient below: Local clustering coefficient measures the connectivity of a node to the rest of ...
  • 2021-009
    Find the derivative of $$ f(t) = \frac{1}{t} − \frac{1}{2t^3} + \frac{1}{2t^5} $$. \( f'(t) = \dfrac{1}{t} − \dfrac{1}{2t^3} + \dfra...