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Communities

Analyse the graph below and evaluate the following statements: I - The modularity value for this graph is approximately 0.48. II - Removing nodes 15, 6, and 8 is not expected to significantly impact the modularity: it will increase by only about a hundredth compared to the modularity of the original network. III - Introducing a new green node that connects to nodes 3, 5, and 6 increases the modularity to approximately 0.61. IV - Increasing the modularity might cause the green nodes to transition into lilac or orange. Choose an option with only correct statements: a) I, II and III b) II, III and IV c) II and IV d) I, II and IV e) None of above Original idea by: João Marcos

Graph Theory II

Analyse the following graph:


Choose the truth statement:

A) Both node D and node E have the same clustering coefficient.
B) Node F currently has a clustering coefficient of zero, however if we establish a connection between node F and node A, it could potentially become the node with the highest clustering coefficient.
C) This graph can be classified as a disconnected graph since not all nodes connect with each other.
D) The node C has the highest clustering coefficient.
E) None of above

Original idea by: João Marcos


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Calculus

What is the volume generated by rotating the region bounded by the curves y=x^2 and y=4 around the x-axis? a)2 π b) 4 π c) 8 π d) 16 π e) None of above Original idea by: João Marcos

Communities

Analyse the graph below and evaluate the following statements: I - The modularity value for this graph is approximately 0.48. II - Removing nodes 15, 6, and 8 is not expected to significantly impact the modularity: it will increase by only about a hundredth compared to the modularity of the original network. III - Introducing a new green node that connects to nodes 3, 5, and 6 increases the modularity to approximately 0.61. IV - Increasing the modularity might cause the green nodes to transition into lilac or orange. Choose an option with only correct statements: a) I, II and III b) II, III and IV c) II and IV d) I, II and IV e) None of above Original idea by: João Marcos