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Table 3 The cases in which the degree of node \(v_i\) changes

From: Friendship paradox in growth networks: analytical and empirical analysis

 

Step (a)

Step (b1)

Step (b2)

\(\Delta s_i(t+1)\)

\(m+p(m-1)\)

\(m+p(m-2)\theta \)

m

\(\Delta d_i(t+1)\)

1

1

1

Probability

\(\frac{d_i(t)}{2|E(t)|}\)

\(\frac{d_i(t)}{2|E(t)|} p(m-1)\)

\(\frac{d_i(t)}{2|E(t)|} (1-p)(m-1)\)