给一副n个点的无向图（非完全图），求从点0到遍历所有点最后回到0点的最短路径 matlab

以下是一个基于BFS算法的MATLAB代码，可以求解从点0到遍历所有点最后回到0点的最短路径：

function shortestPath = bfsShortestPath(n, edges)
% BFS shortest path algorithm to find shortest path from node 0 to
% traverse all nodes and return to node 0
% n: number of nodes in the graph
% edges: list of edges in the graph (each row is an edge)

% create adjacency matrix
adjMatrix = zeros(n);
for i = 1:size(edges, 1)
    adjMatrix(edges(i,1)+1, edges(i,2)+1) = 1;
    adjMatrix(edges(i,2)+1, edges(i,1)+1) = 1;
end

% initialize variables
queue = 0;
visited = zeros(n, 1);
visited(1) = 1;
distances = zeros(n);
allVisited = 2^(n) - 1;

% perform BFS
while ~isempty(queue)
    node = queue(1);
    queue = queue(2:end);
    for i = 1:n
        if adjMatrix(node+1, i) == 1 && visited(i) == 0
            queue = [queue i];
            visited(i) = 1;
            distances(i) = distances(node+1) + 1;
            if bitand(visited, allVisited) == allVisited
                break;
            end
        end
    end
end

% get shortest path
shortestPath = distances(1);
for i = 1:n
    if bitand(visited, allVisited) == allVisited
        break;
    end
    if visited(i) == 0
        shortestPath = -1;
        break;
    end
    if distances(i) < shortestPath || shortestPath == 0
        shortestPath = distances(i);
    end
end
end

该算法的时间复杂度为O(n^2)，其中n是节点数。