Algoritmos em Grafos - Alexandre

 Consider the SI model (Susceptible-Infected) under the homogeneous mixing assumption . In this model, the spread of the virus is driven by random contacts between individuals. You are given the following data for a specific population at time t : Total Population ( N ): 10,000 individuals Current Susceptible individuals ( S ): 9,500 Current Infected individuals ( I ): 500 Average degree (contacts per individual per unit time, <k>): 12 Transmission probability ( B ): 0.05 At this specific moment, what is the average rate of new infections? A) 275 B) 285 C) 570 D) 600 E) None of the above Original idea by: Alexandre Petrachini

 You are a systems analyst at a major data center, and you are tasked with evaluating the robustness of your facility's connection to the wider Internet infrastructure against random node failures. Your analysis of the network topology reveals that the average degree <k> of the nodes is 6.25. Based on your understanding of robustness, what breakdown threshold does the network at the datacenter need to have to display enhanced robustness? a) 0.16 b) 0.17 c) 0.84 d) 0.85 e) None of the above Original idea by: Alexandre Petrachini