Consider the model of "Growing Random Networks" described in lecture 3.1 (so the first model where links are added to existing nodes uniformly at random), with m=10.

Question

At date t=40, what are:
(1) the expected degree for node 15 born at i=15, and
(2) the expected degree for node 30 born at i=30?

[Hint: Use the approximation for the expected degree at time t of a node born at time i, from the Lecture 3.1. Also, it helps to think about which of the two nodes has a higher expected degree.]

(1) 17.35, (2) 14.56
(1) 19.81, (2) 12.87
(1) 12.00, (2) 25.00
(1) 16.93, (2) 12.23

Answer 1

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Answer 2

(1) 19.81, (2) 12.87