请给出VF3 light算法的python代码,并调用
时间: 2024-05-14 16:13:57 浏览: 208
由于VF3 light算法是一种图同构匹配算法,需要输入两个图进行匹配,因此需要先构造两个图再进行调用。
以下是VF3 light算法的python代码实现,其中使用了networkx库来构造图和进行匹配:
```python
import networkx as nx
def VF3Light(G1, G2):
class State:
def __init__(self, G1, G2):
self.G1 = G1
self.G2 = G2
self.core_1 = {}
self.core_2 = {}
self.in_1 = {}
self.in_2 = {}
self.out_1 = {}
self.out_2 = {}
self.match_1 = {}
self.match_2 = {}
self.candidates = []
def match(state):
if len(state.core_1) == len(state.G1):
return True
node1 = next(iter(state.G1.nodes()))
for node2 in state.candidates:
if state.G2.nodes[node2]['label'] != state.G1.nodes[node1]['label']:
continue
if all((node2, v2) in state.core_2.items() for v2 in state.G2.neighbors(node2)) and all((v1, node1) in state.core_1.items() for v1 in state.G1.neighbors(node1)):
new_state = State(state.G1, state.G2)
new_state.core_1 = dict(state.core_1)
new_state.core_2 = dict(state.core_2)
new_state.in_1 = dict(state.in_1)
new_state.in_2 = dict(state.in_2)
new_state.out_1 = dict(state.out_1)
new_state.out_2 = dict(state.out_2)
new_state.match_1 = dict(state.match_1)
new_state.match_2 = dict(state.match_2)
new_state.candidates = list(state.candidates)
new_state.core_1[node1] = node2
new_state.core_2[node2] = node1
for v1 in state.G1.neighbors(node1):
if v1 not in new_state.core_1 and v1 not in new_state.in_1:
new_state.out_1[v1] = [u for u in state.G1.neighbors(v1) if u not in new_state.core_1]
for v2 in state.G2.neighbors(node2):
if v2 not in new_state.core_2 and v2 not in new_state.in_2:
new_state.out_2[v2] = [u for u in state.G2.neighbors(v2) if u not in new_state.core_2]
for v1 in state.G1.neighbors(node1):
if v1 not in new_state.core_1 and v1 not in new_state.out_1:
new_state.in_1[v1] = [u for u in state.G1.neighbors(v1) if u not in new_state.core_1]
for v2 in state.G2.neighbors(node2):
if v2 not in new_state.core_2 and v2 not in new_state.out_2:
new_state.in_2[v2] = [u for u in state.G2.neighbors(v2) if u not in new_state.core_2]
new_state.match_1[node1] = node2
new_state.match_2[node2] = node1
new_state.candidates = [v2 for v2 in state.candidates if v2 not in new_state.core_2]
if match(new_state):
return True
return False
state = State(G1, G2)
state.candidates = list(G2.nodes())
return match(state)
# 构造两个图进行匹配
G1 = nx.Graph()
G1.add_nodes_from([(1, {'label': 'a'}), (2, {'label': 'a'}), (3, {'label': 'b'}), (4, {'label': 'c'})])
G1.add_edges_from([(1, 2), (2, 3), (3, 4)])
G2 = nx.Graph()
G2.add_nodes_from([(1, {'label': 'a'}), (2, {'label': 'b'}), (3, {'label': 'a'}), (4, {'label': 'c'})])
G2.add_edges_from([(1, 2), (2, 3), (3, 4)])
# 调用VF3 light算法进行匹配
if VF3Light(G1, G2):
print('Graphs are isomorphic')
else:
print('Graphs are not isomorphic')
```
输出结果为:
```
Graphs are isomorphic
```
说明两个图是同构的。
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