How to change edges' weight by designated rule?


Question

I have a weighted graph:

F=nx.path_graph(10)
G=nx.Graph()
for (u, v) in F.edges():
    G.add_edge(u,v,weight=1)

Get the nodes list:

[(0, 1), (1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7), (7, 8), (8, 9)]

I want to change each edge's weight by this rule:

Remove one node, such as node 5, clearly, edge (4, 5), and (5, 6) will be delete, and the weight of each edge will turn to:

{# these edges are nearby the deleted edge (4, 5) and (5, 6)

(3,4):'weight'=1.1,

(6,7):'weight'=1.1,

 #these edges are nearby the edges above mentioned

(2,3):'weight'=1.2,

(7,8):'weight'=1.2,

 #these edges are nearby the edges above mentioned

(1,2):'weight'=1.3,

(8,9):'weight'=1.3,

 # this edge is nearby (1,2)

(0,1):'weight'=1.4}

How to write this algorithm?

path_graph is just an example. I need a program to suit any graph type. Furthermore, the program need to be iterable, it means I can remove one node from the origin graph each time.

1
16
5/20/2019 3:55:45 PM

You can access the edge weight as G[u][v]['weight'] or by iterating over the edge data. So you can e.g.

In [1]: import networkx as nx

In [2]: G=nx.DiGraph()

In [3]: G.add_edge(1,2,weight=10)

In [4]: G.add_edge(2,3,weight=20)

In [5]: G[2][3]['weight']
Out[5]: 20

In [6]: G[2][3]['weight']=200

In [7]: G[2][3]['weight']
Out[7]: 200

In [8]: G.edges(data=True)
Out[8]: [(1, 2, {'weight': 10}), (2, 3, {'weight': 200})]

In [9]: for u,v,d in G.edges(data=True):
   ...:     d['weight']+=7
   ...:     
   ...:     

In [10]: G.edges(data=True)
Out[10]: [(1, 2, {'weight': 17}), (2, 3, {'weight': 207})]
29
11/4/2010 3:05:29 PM

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