Consider the following examples of Bipartite Networks: I - In the iFood Delivery Network, a set of nodes corresponding to Motorcycle Couries (U) and the other to Customers (V). II - In the Gmail Spam Network, a set of nodes corresponding to E-mails (U) and the other to Spam List (V). III - In the Spotify Playlist Network, a set of nodes corresponding to Playlists (U) and the other to Musics (V). IV - In the LinkedIn Job Opportunities Network, a set of nodes corresponding to Recruiters (U) and the other to Employment Opportunities (V). The only affirmations above that are false are: A) III and IV B) II and IV C) I and III D) Only II E) None of the above Original idea by: Arthur Hendricks.
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.
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