汉密尔顿回路代码matlab

在Matlab中，可以使用深度优先搜索（DFS）算法来解决汉密尔顿回路问题。以下是一个用Matlab实现的示例代码：

function hamiltonianCircuit(adjacencyMatrix)
    numVertices = size(adjacencyMatrix, 1);
    path = zeros(1, numVertices);
    path(1) = 1;
    if hamiltonianUtil(adjacencyMatrix, path, 2, numVertices)
        disp('存在汉密尔顿回路');
        disp(path);
    else
        disp('不存在汉密尔顿回路');
    end
end

function result = hamiltonianUtil(adjacencyMatrix, path, pos, numVertices)
    if pos == numVertices + 1
        if adjacencyMatrix(path(pos-1), path(1)) == 1
            result = true;
        else
            result = false;
        end
        return;
    end
    
    for v = 2:numVertices
        if isValid(adjacencyMatrix, v, path, pos)
            path(pos) = v;
            if hamiltonianUtil(adjacencyMatrix, path, pos+1, numVertices)
                result = true;
                return;
            end
            path(pos) = 0;
        end
    end
    
    result = false;
end

function valid = isValid(adjacencyMatrix, v, path, pos)
    if adjacencyMatrix(path(pos-1), v) == 0
        valid = false;
        return;
    end
    
    if any(path == v)
        valid = false;
        return;
    end
    
    valid = true;
end

使用上述代码，你可以调用`hamiltonianCircuit`函数来解决汉密尔顿回路问题。你需要提供一个邻接矩阵作为输入参数，其