Table 4 The cases in which the degree of node \(v_i\) does not change
From: Friendship paradox in growth networks: analytical and empirical analysis
Step (a) | Step (b1) | Step (b2) | |
|---|---|---|---|
\(\Delta s_i(t+1)\) | \(1+p(m-1)\theta \) | \(1+p(m-2)\theta ^2\) | 1 |
\(\Delta d_i(t+1)\) | 0 | 0 | 0 |
Probability | \(\frac{s_i(t)}{2|E(t)|}-\frac{d_i(t)}{2|E(t)|}p(m-1)\) | \(\frac{s_i(t)-d_i(t)}{2|E(t)|}p(m-1)\) | \(\frac{s_i(t)}{2|E(t)|}(1-p)(m-1)\) |