graph 深度遍历

图表示

  • 邻接矩阵
  • 邻接链表

图遍历

  • BFS 使用队列
  • DFS 使用栈

DFS Python实现

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
from collections import defaultdict


class :

def __init__(self):
self.graph = defaultdict(list)

def addEdge(self, u, v):
self.graph[u].append(v)

def DFSUtils(self, v, visited):
visited[v] = True
print(v)

for i in self.graph[v]:
if not visited[i]:
self.DFSUtils(i, visited)

def DFS(self, v):
visited = [False] * len(self.graph)
print("DFS results:")
self.DFSUtils(v, visited)

def BFS(self, v):
visited = [False] * len(self.graph)
queue = [v]
visited[v] = True
print("BFS results:")
while queue:
s = queue.pop(0)
print(s, " ")
for i in self.graph[s]:
if not visited[i]:
queue.append(i)
visited[i] = True


def main():
g = Graph()
g.addEdge(0, 1)
g.addEdge(0, 2)
g.addEdge(1, 2)
g.addEdge(2, 0)
g.addEdge(2, 3)
g.addEdge(3, 3)

print("Following is DFS from (staring from vertex 2)")
g.DFS(2)
g.BFS(2)


if __name__ == '__main__':
main()