图论matlab代码整理
时间: 2023-11-25 08:56:00 浏览: 25
以下是一些图论相关的 MATLAB 代码片段,供您参考:
1. 构建邻接矩阵:
```
% 构建邻接矩阵
A = zeros(n);
for i = 1:m
A(edge_list(i,1), edge_list(i,2)) = 1;
A(edge_list(i,2), edge_list(i,1)) = 1;
end
```
2. Dijkstra算法:
```
% Dijkstra算法
dist = inf(1,n);
prev = zeros(1,n);
dist(start_node) = 0;
Q = 1:n;
while ~isempty(Q)
[~, u] = min(dist(Q));
u = Q(u);
Q(Q==u) = [];
neighbors = find(A(u,:));
for v = neighbors
alt = dist(u) + A(u,v);
if alt < dist(v)
dist(v) = alt;
prev(v) = u;
end
end
end
```
3. Floyd算法:
```
% Floyd算法
dist = A;
for k = 1:n
for i = 1:n
for j = 1:n
dist(i,j) = min(dist(i,j), dist(i,k) + dist(k,j));
end
end
end
```
4. 最小生成树(Prim算法):
```
% 最小生成树(Prim算法)
T = zeros(n);
visited = false(1,n);
visited(start_node) = true;
while sum(visited) < n
candidates = find(visited);
min_dist = inf;
for i = candidates
neighbors = find(A(i,:));
for j = neighbors
if ~visited(j) && A(i,j) < min_dist
min_dist = A(i,j);
u = i;
v = j;
end
end
end
T(u,v) = min_dist;
T(v,u) = min_dist;
visited(v) = true;
end
```
这些代码片段只是一些基础的图论算法,您可以根据您的具体需求进行修改和扩展。
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