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  • 2.(图)-深度优先遍历DFS

            从图的某个节点开始遍历,访问了则标记下来,然后访问此点所有邻域中任意点为新起点,且做上访问标记,通常通过递归和栈的技巧实现。

    1:以1为起点,[5,2]入栈

    2:弹出上面的2,2相邻且未标记访问的3,4入栈[5,4,3]

    3:弹3,入4,5;[5,4,5,4]

    4:弹4,入5;[5,4,5,5]

    5:弹5,剩余[5,4,5]

    6:[5,4,5]均被标记访问,依次弹出,不打印、访问节点

    最终深度优先遍历依次访问节点:1,2,3,4,5

    1.基于递归

    class list_node:
        def __init__(self):
            self.val = 0
            self.next = None
    
    
    def dfs(current, run=[0] * 9):
        '''
        基于递归实现
        :param current:
        :param run:
        :return:
        '''
        run[current] = 1
        print('[%d]' % current, end=' ')
        ptr = head[current].next
        while ptr != None:  # 遍历所有current节点连接的节点
            if run[ptr.val] == 0:  # 连接点未访问
                dfs(ptr.val, run)
            ptr = ptr.next
    
    
    
    def graph_create(data):
        '''
        创建链表表示图
        :return:
        '''
        global head
        for i in range(len(head)):
            head[i] = list_node()
            head[i].val = i
            head[i].next = None
            ptr = head[i]
            for j in range(len(data)):
                if data[j][0] == i:
                    newnode = list_node()
                    newnode.val = data[j][1]
                    newnode.next = None
                    ptr.next = newnode
                    ptr = ptr.next
    
    
    def print_head(head):
        '''
        打印函数
        :return:
        '''
        for i in range(len(head)):
            ptr = head[i]
            print('顶点%d=>' % i, end=' ')
            ptr = ptr.next
            while ptr != None:
                print('[%d] ' % ptr.val, end=' ')
                ptr = ptr.next
            print()
    
    
    data = [[1, 2], [2, 1], [1, 3], [3, 1],
            [2, 4], [4, 2], [2, 5], [5, 2],
            [3, 6], [6, 3], [3, 7], [7, 3],
            [4, 8], [8, 4], [5, 8], [8, 5],
            [6, 8], [8, 6], [8, 7], [7, 8]]
    
    head = [None] * 9
    graph_create(data)
    print_head(head)
    print('1节点开始,递归深度优先遍历:')
    dfs(1)
    print()
    
    

    2.基于栈 

    def dfs_stack(current):
        '''
        基于栈
        :param current:
        :return:
        '''
        node_stack = []
        if len(node_stack) == 0:
            node_stack.append(current)
        run = [0] * 9
        while len(node_stack) != 0:
            out = node_stack.pop()
            if run[out] == 0:
                print('[%d]' % out, end=' ')
                run[out] = 1
            ptr = head[out].next
            while ptr != None:  # 遍历所有current节点连接的节点
                if run[ptr.val] == 0:  # 连接点未访问
                    node_stack.append(ptr.val)
                ptr = ptr.next
    
    run = [0] * 9
    print('1节点开始,栈深度优先遍历:')
    dfs_stack(1)

    output:

    顶点0=> 
    顶点1=> [2]  [3]  
    顶点2=> [1]  [4]  [5]  
    顶点3=> [1]  [6]  [7]  
    顶点4=> [2]  [8]  
    顶点5=> [2]  [8]  
    顶点6=> [3]  [8]  
    顶点7=> [3]  [8]  
    顶点8=> [4]  [5]  [6]  [7]  
    1节点开始,递归深度优先遍历:
    [1] [2] [4] [8] [5] [6] [3] [7] 
    1节点开始,栈深度优先遍历:
    [1] [3] [7] [8] [6] [5] [2] [4] 

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  • 原文地址:https://www.cnblogs.com/onenoteone/p/12441754.html
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