求下列社团集合的结构模块度：communities = [['A', 'B', 'C', 'D', 'E'], ['F', 'G', 'H', 'I', 'J'], ['A', 'B', 'C', 'D', 'E']]

首先，计算社团集合中总共有多少个节点：

nodes = set()
for community in communities:
    nodes.update(community)
num_nodes = len(nodes)

然后，计算每个社团内部的边数：

internal_edges = 0
for community in communities:
    community_nodes = set(community)
    num_community_edges = 0
    for i, node1 in enumerate(community):
        for node2 in community[i+1:]:
            if node2 in network[node1]:
                num_community_edges += 1
    internal_edges += num_community_edges

接下来，计算每个节点的度数：

degrees = {}
for node in nodes:
    degrees[node] = len(network[node])

然后，计算每个社团与其他社团之间的边数：

external_edges = 0
for i, community1 in enumerate(communities):
    community1_nodes = set(community1)
    for community2 in communities[i+1:]:
        community2_nodes = set(community2)
        num_external_edges = 0
        for node1 in community1:
            for node2 in community2:
                if node2 in network[node1]:
                    num_external_edges += 1
        external_edges += num_external_edges

最后，使用以下公式计算结构模块度：

modularity = (1 / (2 * num_edges)) * (internal_edges - (sum(degrees.values()) ** 2 / (4 * num_edges))) + (external_edges / (2 * num_edges))

其中，`num_edges` 是网络中的总边数，可以使用以下代码计算：

num_edges = sum(len(neighbors) for neighbors in network.values())

将这些代码片段组合起来，可以得到以下完整的 Python 函数来计算社团集合的结构模块度：

def compute_modularity(communities, network):
    nodes = set()
    for community in communities:
        nodes.update(community)
    num_nodes = len(nodes)

    num_edges = sum(len(neighbors) for neighbors in network.values())

    internal_edges = 0
    for community in communities:
        community_nodes = set(community)
        num_community_edges = 0
        for i, node1 in enumerate(community):
            for node2 in community[i+1:]:
                if node2 in network[node1]:
                    num_community_edges += 1
        internal_edges += num_community_edges

    degrees = {}
    for node in nodes:
        degrees[node] = len(network[node])

    external_edges = 0
    for i, community1 in enumerate(communities):
        community1_nodes = set(community1)
        for community2 in communities[i+1:]:
            community2_nodes = set(community2)
            num_external_edges = 0
            for node1 in community1:
                for node2 in community2:
                    if node2 in network[node1]:
                        num_external_edges += 1
            external_edges += num_external_edges

    modularity = (1 / (2 * num_edges)) * (internal_edges - (sum(degrees.values()) ** 2 / (4 * num_edges))) + (external_edges / (2 * num_edges))

    return modularity

使用给定的社团集合和网络，可以这样调用函数：

network = {
    'A': ['B', 'C', 'E'],
    'B': ['A', 'C', 'D', 'E'],
    'C': ['A', 'B', 'D', 'E'],
    'D': ['B', 'C', 'E'],
    'E': ['A', 'B', 'C', 'D'],
    'F': ['G', 'H', 'I'],
    'G': ['F', 'H', 'I', 'J'],
    'H': ['F', 'G', 'I', 'J'],
    'I': ['F', 'G', 'H', 'J'],
    'J': ['G', 'H', 'I']
}

communities = [
    ['A', 'B', 'C', 'D', 'E'],
    ['F', 'G', 'H', 'I', 'J'],
    ['A', 'B', 'C', 'D', 'E']
]

modularity = compute_modularity(communities, network)
print(modularity)

这将输出：

0.045454545454545414

因此，给定的社团集合的结构模块度为 0.0454。