根据邻接矩阵求有向网络聚集系数matlab代码

以下是根据邻接矩阵求有向网络聚集系数的matlab代码：

function ClusteringCoefficient = directedClusteringCoefficient(adjMatrix)
% Calculate the directed clustering coefficient of a network given its adjacency matrix.
% The input adjMatrix is a binary adjacency matrix representing the connections between nodes.
% The output ClusteringCoefficient is a vector of clustering coefficients for each node in the network.

n = size(adjMatrix,1);
ClusteringCoefficient = zeros(n,1);

for i = 1:n
    neighbors = find(adjMatrix(i,:)); % find the neighbors of node i
    k = length(neighbors);
    if k>1 % only consider nodes with at least 2 neighbors
        edges = adjMatrix(neighbors,neighbors); % extract the subgraph formed by the neighbors
        numTriangles = trace(edges^3)/2; % count the number of triangles in the subgraph
        maxTriangles = k*(k-1); % calculate the maximum number of triangles that could be formed
        if maxTriangles > 0 % avoid division by zero
            ClusteringCoefficient(i) = numTriangles / maxTriangles; % calculate the clustering coefficient of node i
        end
    end
end

end

该代码首先遍历每个节点，找到其邻居节点。然后，对于每个有至少两个邻居的节点，它会提取邻居子图并计算其中三角形的数量。最后，该代码将三角形数量除以最大可能的三角形数量，以获得该节点的聚集系数。最终，该代码将聚集系数存储在一个向量中，并返回该向量作为输出。