MathJax


Saturday, November 8, 2025

2025-291

The image below shows the probability that a node belongs to the giant component of an Erdos–Rényi network, estimated as the ratio between the size of the largest connected component and the number of the remaining nodes after the removal of a fraction of nodes, with the red vertical line representing the breakdown threshold for the created network.


Which of the following alternatives best approximates the number of nodes (N) of the network and the probability for edge creation (p), respectively:

A) N = 500 and p = 0.015
B) N = 750 and p = 0.02
C) N = 1000 and p = 0.005
D) N = 1500 and p = 0.002
E) None of the above.

Original idea by: João Medrado Gondim

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