39、隐私保护的分布式社交网络分析与云数据审计方案

隐私保护的分布式社交网络分析与云数据审计方案

1. 社交网络分析相关算法

在社交网络分析中，有许多重要的算法用于研究网络的结构和特性。其中，PageRank算法和K - shell分解算法是两个关键的算法。

1.1 PageRank算法

PageRank算法用于计算网络中节点的重要性。以下是PageRank算法的协议：

Protocol 6. page rank() πPR
Input: 
    l, the length of the random walk
    α, such that (1 − α/p) is the teleportation probability
    [A], which is an unweighted adjacency matrix
Output: 
    [count1], [count2], ... [count|V|], where counti stores the number of times vertex i is visited during the random walk
1: for i = 1 to |V| do
2:
    [counti] ← [0]
3: [A] ← no zero outdegree([A])
4: [r] ← random number([|V|])
5: [cur] ← [r]
6: while l > 0 do
7:
    for i = 1 to |V| do
8:
        [counti] ← [counti] + ([cur]?= i)
9:
    for i = 1