Gustavo Luz Blog

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 and tB are the birth times t i of each node. What is the ratio kA(100) / kB(100)? t k 0 5 10 15 20 1 4 25 50 100 node B enters (tB=4) node A (tA=1) kA(100) kB(100) 1/2 1 4 10 None of the above Original idea by: Gustavo P. C. P. da Luz

The figure below shows the Complementary Cumulative Distribution Function (CCDF) $P(K > k)$ on a log-log scale for two networks, both with $N = 10^4$ nodes and $k_{\min} = 1$. Network A has $\gamma = 2.1$ and network B has $\gamma = 2.9$.   In what range does the ratio ($r$) of the largest hub in network A to the largest hub in network B fall? $0 \leq r \lt 10$ $10 \leq r \lt 20$ $20 \leq r \lt 30$ $30 \leq r \lt 40$ None of the above Original idea by: Gustavo P. C. P. da Luz