最短路径 matlab完整代码
时间: 2024-06-30 10:01:16 浏览: 5
以下是使用Floyd算法在MATLAB中求解最短路径的完整代码示例,它适用于无向图和有向图[^1]:
```matlab
% 输入顶点数和边的权重(假设为无向图)
numVertices = input('Enter the number of vertices: ');
edgeWeights = input('Enter the edge weights (as a matrix where row i and column j represents weight from i to j): ');
% 检查输入的合法性
if size(edgeWeights, 1) ~= numVertices || size(edgeWeights, 2) ~= numVertices
error('Invalid edge weights matrix.');
end
% 初始化邻接矩阵和零矩阵用于存储路径
adjMatrix = sparse(1:numVertices, 1:numVertices, edgeWeights, numVertices, numVertices);
pathMatrix = inf(numVertices, numVertices); % 使用无穷大初始化路径矩阵
% Floyd-Warshall算法
for k = 1:numVertices
for i = 1:numVertices
for j = 1:numVertices
pathMatrix(i,j) = min(pathMatrix(i,j), adjMatrix(i,k) + adjMatrix(k,j));
end
end
end
% 输出结果
disp('Shortest paths:');
disp(pathMatrix);
% 用户可以通过命令窗口交互查询特定两点的最短路径
fprintf('Enter the source vertex (s) and destination vertex (e): ');
s = input('s = ');
e = input('e = ');
% 获取指定两点的最短路径
shortestPath = pathMatrix(s, e);
shortestLength = shortestPath;
fprintf('The shortest path from vertex %d to vertex %d is %d with length %.2f.\n', s, e, shortestPath, shortestLength);
```
要运行此代码,首先确保在MATLAB中创建一个名为`canshuo.m`的文件,并将上述代码复制进去。然后按照说明在命令窗口中输入节点数、边权重矩阵以及查询的起始点和结束点。
相关推荐
![rar](https://img-home.csdnimg.cn/images/20210720083606.png)
![rar](https://img-home.csdnimg.cn/images/20210720083606.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)
![zip](https://img-home.csdnimg.cn/images/20210720083736.png)