图应用拓扑排序算法python
作者:互联网
#File Name : 图的拓扑排序算法.py
#拓扑排序:在任何一个节点之前,所依赖的节点都做完
#找到所有入度为0的节点,这些节点代表不需要任何的依赖
#删除这些,又有新的入度为0的节点,删掉代表已经做完
#要求有向图且不能有环,有环代表循环依赖
from queue import Queue
class Node(object):
def __init__(self,value=None):
self.value = value #节点的值
self.come = 0 #节点入度
self.out = 0 #节点出度
self.nexts = [] #节点的邻居节点
self.edges = [] #在节点为from的情况下,边的集合
class Edge(object):
def __init__(self,weight=None,fro,to):
self.weight = weight # 边的权重
self.fro = fro # 边的from节点
self.to = to #边的to节点
class Graph(object):
def __init__(self):
self.nodes = {} #图所有节点的集合 字典形式 :{节点编号:节点}
self.edges = [] #图的边集合
def creatGraph(matrix):
# 二维数组matrix [权重 从那个点的值 去哪个点的值]
graph = Graph()
# 建立所有节点
for edge in matrix:
weight = edge[0]
fro = edge[1]
to = edge[2]
if fro not in graph.nodes:
graph.nodes[fro] = Node(fro)
if to not in graph.nodes:
graph.nodes[to] = Node(to)
#建立所有的边
fromNode = graph.nodes[fro]
toNode = graph.nodes[to]
newEdge = Edge(weight,fromNode,toNode)
fromNode.nexts.append(toNode) #加上邻居指向
fromNode.out+=1 #出度+1
toNode.come+=1 #to 的入度+1
fromNode.edge.append(newEdge) #边的集合+1
graph.edges.append(newEdge)
return graph
def sortedTopology(graph):
inmap = {} #统计当前所有节点的入度
queue_zero_come = Queue() #所有入度为0的点入队列
for node in graph.nodes.values():
inmap[node] = node.come
if node.come==0:
queue_zero_come.put(node)
#将入度为0的节点加入到列表中
res = []
while queue_zero_come.empty() == False :
cur = queue_zero_come.get()
res.append(cur)
# 消除影响,将后序节点的入度减一
for next in cur.nexts:
inmap[next] = inmap[next]-1
if inmap[next] == 0:
queue_zero_come.put(next)
return res
标签:python,graph,拓扑,fro,self,nodes,排序,come,节点 来源: https://blog.csdn.net/weixin_40274123/article/details/94588853