WEEK-08 - Barabási–Albert (BA)

A network starts with 2 nodes and m=1. Use the Barabási–Albert(BA) model to add 8 more nodes to the network, one node at a time for each subsequent t. What is the expected number of links in the network after all nodes have been added? Consider m=1 constant.
  1. 8
  2. 9
  3. 10
  4. 16
  5. None of the above
Original idea by: Thaysa Bello

Comentários

Postar um comentário

Postagens mais visitadas deste blog

WEEK-04 (Optional)

Regarding random networks, when does the giant component emerge? I: Subcritical \begin{equation*}\langle k \rangle < 1\end{equation*} II: Critical \begin{equation*}\langle k \rangle = 1\end{equation*} III: Supercritical \begin{equation*}\langle k \rangle > 1\end{equation*} IV: Connected \begin{equation*} \langle k \rangle > \ln N\end{equation*} None of the above Original idea by: Thaysa Bello
Leia mais

WEEK-03

Given the following adjacency matrix that represents a directed graph, apply a topological sort using Depth First Search (DFS) and determine the start and finish times for each node. Start from node 'a' and always prioritize visiting nodes in alphabetical order. \begin{equation*} \begin{matrix} & a & b & c & d & e & f & g\\ a & 0 & 1 & 0 & 0 & 0 & 0 & 0 \\ b & 0 & 0 & 1 & 0 & 1 & 0 & 0 \\ c & 0 & 0 & 0 & 1 & 0 & 0 & 0 \\ d & 0 & 0 & 0 & 0 & 1 & 0 & 1 \\ e & 0 & 0 & 0 & 0 & 0 & 1 & 0 \\ f & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\ g & 0 & 0 & 0 & 0 & 0 & 1 & 0 \end{matrix} \end{equation*} a(1,14); b(2,13); c(3,12); d(4,11); e(5,10); f(6,7); g(5,8) a(1,14); b(2,13); c(3,12); d(4,11);
Leia mais

WEEK-12 - Network Robustness

Imagem
At what threshold f c will the network A fall apart if we remove a fraction f of nodes? Will the threshold f c change If we add more 100 levels of a nodes, where all nodes between black nodes and the purple nodes have the same degree as the black nodes (each black node has 4 degree, as depicted in the abstraction of network B)? If so, what is the new value of f c of the network B? f c of A is ~0.729 and f c of B is ~0.749 f c of A is ~0.636 and f c of B is 0.666 f c of A and B are ~0.729 f c of A and B are ~0.636 None of the above Original idea by: Thaysa Bello
Leia mais