drowing a 1d lattice graph in python networkx

Question

I am tying to plot 1d lattice graph, but i face with below:

NetworkXPointlessConcept: the null graph has no paths, thus there is no averageshortest path length what is the problem of this code? thanks.

N = 1000
x = 0
for n in range(1, N, 10):
    lattice_1d_distance = list()
    d = 0
    lattice_1d = nx.grid_graph(range(1,n))
    
    d = nx.average_shortest_path_length(lattice_1d)
    lattice_1d_distance.append(d)
    x.append(n)
plt.plot(x, lattice_1d_distance)  
plt.show()

Answer 1

According to networkx documentation nx.grid_graph the input is a list of dimensions for nx.grid_graph

Example

print(list(range(1,4)))
nx.draw(nx.grid_graph(list(range(1,4))) # this is a two dimensional graph, as there is only 3 entries AND ONE ENTRY = 1

[1, 2, 3]

print(list(range(1,5)))
nx.draw(nx.grid_graph([1,2,3,4])) # this is a 3 dimensional graph, as there is only 4 entries AND ONE ENTRY = 1

[1, 2, 3, 4]

Therefore, lets say if you want to 1. plot the distance vs increment of number of dimensions for grid graphs but with constant size for each dimension, or you want to 2. plot the distance vs increment of size for each dimension for grid graphs but with constant number of dimensions:

import networkx as nx
import matplotlib.pyplot as plt

N = 10
x = []
lattice_1d_distance = []
for n in range(1, 10):
    d = 0
    lattice_1d = nx.grid_graph([2]*n) # plotting incrementing number of dimensions, but each dimension have same length.
    d = nx.average_shortest_path_length(lattice_1d)
    lattice_1d_distance.append(d)
    x.append(n)
plt.plot(x, lattice_1d_distance)  
plt.show()

N = 10
x = []
lattice_1d_distance = []
for n in range(1, 10):
    d = 0
    lattice_1d = nx.grid_graph([n,n]) # plotting 2 dimensional graphs, but each graph have incrementing length for each dimension.
    d = nx.average_shortest_path_length(lattice_1d)
    lattice_1d_distance.append(d)
    x.append(n)
plt.plot(x, lattice_1d_distance)  
plt.show()

Also, you need to pay attention to the declaration of list variables.