有向图的深度:查找距给定节点k距离的节点

时间:2019-12-07 17:45:44

标签: python algorithm depth directed-graph

我正在尝试使用函数查找距给定节点k距离的节点。

这是我的代码:

def depth(graph, start, k):
    def levels(graph, start, visited, current_nodes, k):
        #base case
        if k == 0:
            return current_nodes
        else:
            current_nodes = []
        #if no neighbors, return
        if graph.adjacent_nodes(start) == []:
            return []
        for nodes in graph.adjacent_nodes(start):
            if nodes not in visited:
                visited.append(nodes)
            current_nodes.append(nodes)
        print("visited =", visited)
        print("current_nodes =", current_nodes)
        print("k =", k)
        for nodes in current_nodes:
            return levels(graph, nodes, visited, current_nodes, k-1)

    visited = [start]
    current_nodes = []
    required_nodes = levels(graph, start, visited, current_nodes, k)
    print(required_nodes)
    return required_nodes

这可以在Spyder中实现,但对于我的在线课程而言,它不是(我刚刚开始学习)。我正在打印visitedcurrent_nodesk以查看发生了什么。

例如,对于a->b->c->dstart = a的{​​{1}},它应该返回一个空列表,这意味着到k = 5的距离5上没有节点。 Spyder的输出如下:

a

但是,对于在线课程,输出如下:

visited = ['a', 'b']
current_nodes = ['b']
k = 5
visited = ['a', 'b', 'c']
current_nodes = ['c']
k = 4
visited = ['a', 'b', 'c', 'd']
current_nodes = ['d']
k = 3
[]

有人可以告诉我我的代码是否有问题吗?

1 个答案:

答案 0 :(得分:0)

问题是current_nodes不应附加已访问过的节点。并且在检查了相邻节点之后,如果current_nodes为空,则没有其他事情可做,因此将返回一个空列表(指示在k距离处未找到任何节点)。

def depth(graph, start, k):
    def levels(graph, start, visited, current_nodes, k):
        '''BASE CASE'''
        if k == 0:
            return current_nodes
        else:
            current_nodes = []
        '''IF NO NEIGHBORS, RETURN AN EMPTY LIST'''
        if graph.adjacent_nodes(start) == []:
            return []
        for nodes in graph.adjacent_nodes(start):
            if nodes not in visited:
                visited.append(nodes)
                current_nodes.append(nodes)
        print("visited = ", visited)
        print("current_nodes = ", current_nodes)
        print("k = ", k)
        '''IF ALL ADJACENT NODES ALREADY VISITED, CURRENT NODES WILL BE EMPTY, RETURN []'''
        if current_nodes == []:
            return []
        '''RECURSION'''
        for nodes in current_nodes:
            return levels(graph, nodes, visited, current_nodes, k-1)

    visited = [start]
    current_nodes = []
    required_nodes = levels(graph, start, visited, current_nodes, k)
    print(required_nodes)
    return required_nodes