Networks and Graphs - Random Graphs

Random graphs are a type of mathematical object used to model complex systems, such as social networks on the internet. In a random graph with n vertices and edge probability p, the typical distance between two vertices follows a known property called small world phenomena which implies that:


A) The distances between all pairs of vertices will be the same.

B) The distances between vertices will follow a normal distribution.

C) The distances between vertices will be roughly proportional to log(n).

D) The distances between vertices will be randomly distributed.

E) None of the above.


Original idea by: Arthur Hendricks.

Comments

Post a Comment

Popular posts from this blog

Network Science: Network Robustness

  Which of the following statements correctly describes the robustness of scale-free networks? A) Scalle-free networks are highly robust against targeted attacks but vulnerable to random node removal. B) Scalle-free networks are equally robust against random node removal and targeted attacks. C) Scalle-free networks are highly robust against random node removal but vulnerable to targeted attacks. D) Scalle-free networks are vulnerable to both random node removal and targeted attacks. E) None of the above. Original idea by: Arthur Hendricks.
Read more

Network Flow

Which of the following statements is true when comparing the Ford-Fulkerson algorithm and the Push-Relabel algorithm for solving maximum flow problems in networks? A) The Ford-Fulkerson algorithm is a specific implementation of the  Push-Relabel algorithm . B)  The Ford-Fulkerson algorithm always terminates in polynomial time for any network . C)  The Push-Relabel algorithm  is a more efficient and faster alternative to the Ford-Fulkerson algorithm.  D) Both t he Ford-Fulkerson and Push-Relabel algorithms can find the maximum flow in a network, but the Push-Relabel algorithm garantees a shorter runtime. E) None of the above. Original idea by: Arthur Hendricks.
Read more