matlab kruskal算法代码

Kruskal算法是一种用于求解最小生成树的贪心算法，而Matlab是一种高级的数值计算和可视化编程语言。下面是一个简单的Matlab实现Kruskal算法的代码示例：

% 定义边的结构体
Edge = struct('src', [], 'dst', [], 'weight', []);

function [parent, rank] = makeSet(vertices)
    parent = 1:vertices;
    rank = zeros(1, vertices);
end

function root = find(parent, vertex)
    if parent(vertex) ~= vertex
        parent(vertex) = find(parent, parent(vertex));
    end
    root = parent(vertex);
end

function union(parent, rank, x, y)
    xRoot = find(parent, x);
    yRoot = find(parent, y);
    
    if rank(xRoot) < rank(yRoot)
        parent(xRoot) = yRoot;
    elseif rank(xRoot) > rank(yRoot)
        parent(yRoot) = xRoot;
    else
        parent(yRoot) = xRoot;
        rank(xRoot) = rank(xRoot) + 1;
    end
end

function mst = kruskal(vertices, edges)
    mst = [];
    sortedEdges = sort(edges, 'ascend', 'ComparisonMethod', 'auto');
    [parent, rank] = makeSet(vertices);
    
    for i = 1:length(sortedEdges)
        src = sortedEdges(i).src;
        dst = sortedEdges(i).dst;
        
        if find(parent, src) ~= find(parent, dst)
            mst = [mst, sortedEdges(i)];
            union(parent, rank, src, dst);
        end
        
        if length(mst) == vertices - 1
            break;
        end
    end
end

% 测试代码
vertices = 4;
edges = [Edge(1, 2, 10), Edge(1, 3, 6), Edge(2, 3, 5), Edge(2, 4, 15), Edge(3, 4, 4)];
mst = kruskal(vertices, edges);

% 输出最小生成树的边
disp('最小生成树的边：');
for i = 1:length(mst)
    disp(['边 ', num2str(i), ': ', num2str(mst(i).src), ' - ', num2str(mst(i).dst)]);
end

这段代码实现了Kruskal算法，并输出最小生成树的边。你可以根据自己的需求修改顶点数和边的权重来进行测试。