sexta-feira, 22 de agosto de 2025

Chapter 2 - Graph Theory


Consider the undirected graph above, representing an interaction network. 

Analyze: (i) the shortest path between nodes C and J; (ii) whether edge E–F is a bridge; (iii) the clustering coefficient of node B.

Select the correct alternative bellow:

A - d(C,J)=4d(C,J)=4; E–F is a bridge; CB=5/6C_B = 5/6
B - d(C,J)=5d(C,J)=5; E–F is a bridge; CB=1/2C_B = 1/2
C - d(C,J)=4d(C,J)=4; E–F is not a bridge; CB=2/3C_B = 2/3
D - d(C,J)=3d(C,J)=3; E–F is a bridge; CB=5/6C_B = 5/6
E - None of the above

Original idea by: Matteus Vargas Simão

Network Robustness

Using the giant-component breakdown criterion, ⟨ k ′ 2 ⟩ f ⟨ k ′ ⟩ f = 2 \frac{\langle k'^2 \rangle_f}{\langle k' \rangle_f} = 2 , a...