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June 22, 2019 15:51
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Python script that creates the product graph, which consists of pairs of identically labeled nodes and edges from G1 and G2.
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import networkx as nx | |
import matplotlib.pyplot as plt | |
""" | |
Implements Product Graph operator proposed in https://sites.cs.ucsb.edu/~xyan/tutorial/GraphKernels.pdf. | |
""" | |
def product_graph(G1,G2): | |
G = nx.lexicographic_product(G1,G2) | |
PG = nx.Graph() | |
for n in G.nodes(): | |
if n[0] == n[1]: | |
PG.add_node(n) | |
for e in G.edges.data('weight', default=0): | |
v1 = e[0][0] | |
w1 = e[0][1] | |
v2 = e[1][0] | |
w2 = e[1][1] | |
label = e[2] | |
if v1==w1 and v2==v2 and G1.get_edge_data(v1,v2,default=0) and G2.get_edge_data(w1,w2,default=0) and \ | |
G1.get_edge_data(v1,v2,default=0) == G2.get_edge_data(w1,w2,default=0): | |
PG.add_edge((v1,w1),(v2,w2),weight=label) | |
return PG | |
if __name__=='__main__': | |
G1=nx.Graph() | |
G2=nx.Graph() | |
G1.add_nodes_from([('a'),'b','c']) | |
G1.add_weighted_edges_from([('a','b',1),('b','c',2),('a','c',3)]) | |
G2.add_nodes_from(['a','b','c','d']) | |
G2.add_weighted_edges_from([('a','b',1),('b','c',2),('c','d',3),('a','d',4)]) | |
PG = product_graph(G1,G2) | |
nx.draw(PG,with_labels=True) | |
labels = nx.get_edge_attributes(PG,'weight') | |
pos=nx.spring_layout(PG) | |
nx.draw_networkx_edge_labels(PG,pos,edge_labels=labels) | |
plt.show() |
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