2 parts to this question part A: Your younger brother has just transferred to a

Question

2 parts to this question part A:

Your younger brother has just transferred to a new secondary school. There are a bunch of popular students in his class, the “kewl kidz”: everyone in class is friends with at least one kewl kid, and the kewl kids are all friends with each other. Having peeked at your notes for GER1000, he thinks it’s a good idea to befriend the leader of the kewl kidz, Amos. He only manages to befriend Amos in the first week of school. Consider the network whose vertices are made up of students in his class, and an edge represents friendship between students. What is your brother’s betweenness centrality in this network just after one week in the new school?

(A) 0

(B) 1

(C) Between 0 and 1

(D) Cannot be deduced from the given information

Part B: Putting your knowledge gained in GER1000 to good use, you subsequently calculate the “Amos number” of every student in your brother’s class. This is the distance of the student from Amos in the network described in the previous question. Without doing further calculations, we can conclude that: Ccen(brother) ___ Ccen(Amos)

(A) <

(B) =

(C) >

(D) None of the above can be deduced from the given information.

Explain your answers!

Explanation / Answer

Part A:-As he had managed to friends with only Amos the kewl guy leader so we can say that he had friendship with only one guy in the class but in other way he had managed to be friend with all kwel guy and with a guy from class inderctly ,so as maximum minimum theory we can say between ness centrality is between 0to 1.But as we don't know the no of guys of the class and the no of kwel guys so we can't determine the betweeness centrality.

Part B:-As described in the previous question Amos is friend with every kwel guy and a guy from the class but ccen is only friend with Amos,so Ccen(brother)<Ccen(Amos),

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