MathJax


Sunday, November 27, 2022

2022-185

The generalized modularity M of a network with L links partitioned into nc communities can be calculated as:

M=c=1nc[LcL(kc2L)2]

where Lc is the total number of links within the community Cc and kc is the total degree of the nodes in this community. Consider the following statements about M:

  1. Higher values of M correspond to better community structures.
  2. M=0 when the entire network is taken as a single community.
  3. M cannot be negative.
  4. M cannot exceed one.

What is correct to assert:

  1. Only I is true
  2. I, II, and III are true
  3. I, II, and IV are true
  4. I and II are true, III and IV are false
  5. None of the above

Original idea by: Marcelo Silva

No comments:

Post a Comment

2024-248

  Consider the following networks:   Which of the following options correctly ranks these networks from  most  robust to  least  robust agai...