给我最短路径算法的matlab代码
时间: 2023-05-17 17:03:25 浏览: 43
以下是Dijkstra算法的Matlab代码:
function [dist, path] = dijkstra(graph, start_node, end_node)
% graph: n x n矩阵,表示图的邻接矩阵
% start_node: 起点
% end_node: 终点
% dist: 起点到各个节点的最短距离
% path: 起点到各个节点的最短路径
n = size(graph, 1);
dist = inf(1, n);
path = cell(1, n);
visited = false(1, n);
dist(start_node) = 0;
path{start_node} = start_node;
for i = 1:n
[~, u] = min(dist(~visited));
if isempty(u)
break;
end
u = find(~visited, 1, 'first');
visited(u) = true;
for v = 1:n
if graph(u, v) > 0 && ~visited(v)
alt = dist(u) + graph(u, v);
if alt < dist(v)
dist(v) = alt;
path{v} = [path{u}, v];
end
end
end
end
if isempty(end_node)
return;
end
if isinf(dist(end_node))
path = {};
else
path = path{end_node};
end
end
请注意,这只是Dijkstra算法的一种实现方式,可能不是最优的。