Question: Consider a star network, where a single node is connected to N 1 degree one nodes. Assume that N1. (a) What is the degree distribution

Consider a star network, where a single node is connected to N 1 degree one nodes. Assume that N1. (a) What is the degree distribution pk of this network? (b) What is the probability qk that moving along a randomly chosen link we find at its end a node with degree k? (c) Calculate the degree correlation coefficient r for this network. Use the expressions of ekk' and P(k'|k) calculated in HOMEWORK 7.1. ( ekk ' = qkP(k ' | k) ) (d) Is this network assortative or disassortative? Explain why. ( Answer them all please not only a )

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