Fix position of subset of nodes in NetworkX spring

2019-03-27 17:16发布

问题:

Using Networkx in Python, I'm trying to visualise how different movie critics are biased towards certain production companies. To show this in a graph, my idea is to fix the position of each production-company-node to an individual location in a circle, and then use the spring_layout algorithm to position the remaining movie-critic-nodes, such that one can easily see how some critics are drawn more towards certain production companies.

My problem is that I can't seem to fix the initial position of the production-company-nodes. Surely, I can fix their position but then it is just random, and I don't want that - I want them in a circle. I can calculate the position of all nodes and afterwards set the position of the production-company-nodes, but this beats the purpose of using a spring_layout algorithm and I end up with something wacky like:

Any ideas on how to do this right?

Currently my code does this:

def get_coordinates_in_circle(n):
    return_list = []
    for i in range(n):
        theta = float(i)/n*2*3.141592654
        x = np.cos(theta)
        y = np.sin(theta)
        return_list.append((x,y))
    return return_list

G_pc = nx.Graph()
G_pc.add_edges_from(edges_2212)

fixed_nodes = []
for n in G_pc.nodes():
    if n in production_companies:
        fixed_nodes.append(n)

pos = nx.spring_layout(G_pc,fixed=fixed_nodes)

circular_positions = get_coordinates_in_circle(len(dps_2211))
i = 0
for p in pos.keys():
    if p in production_companies:
        pos[p] = circular_positions[i]
        i += 1

colors = get_node_colors(G_pc, "gender")

nx.draw_networkx_nodes(G_pc, pos, cmap=plt.get_cmap('jet'), node_color=colors, node_size=50, alpha=0.5)
nx.draw_networkx_edges(G_pc,pos, alpha=0.01)
plt.show()

回答1:

To create a graph and set a few positions:

import networkx as nx
G=nx.Graph()
G.add_edges_from([(1,2),(2,3),(3,1),(1,4)]) #define G
fixed_positions = {1:(0,0),2:(-1,2)}#dict with two of the positions set
fixed_nodes = fixed_positions.keys()
pos = nx.spring_layout(G,pos=fixed_positions, fixed = fixed_nodes)
nx.draw_networkx(G,pos)

Your problem appears to be that you calculate the positions of all the nodes before you set the positions of the fixed nodes.

Move pos = nx.spring_layout(G_pc,fixed=fixed_nodes) to after you set pos[p] for the fixed nodes, and change it to pos = nx.spring_layout(G_pc,pos=pos,fixed=fixed_nodes)

The dict pos stores the coordinates of each node. You should have a quick look at the documentation. In particular,

pos : dict or None optional (default=None). Initial positions for nodes as a dictionary with node as keys and values as a list or tuple. If None, then nuse random initial positions.

fixed : list or None optional (default=None). Nodes to keep fixed at initial position. list or None optional (default=None)

You're telling it to keep those nodes fixed at their initial position, but you haven't told them what that initial position should be. So I would believe it takes a random guess for that initial position, and holds it fixed. However, when I test this, it looks like I run into an error. It appears that if I tell (my version of) networkx to hold nodes in [1,2] as fixed, but I don't tell it what their positions are, I get an error (at bottom of this answer). So I'm surprised your code is running.


For some other improvements to the code using list comprehensions:

def get_coordinates_in_circle(n):
    thetas = [2*np.pi*(float(i)/n) for i in range(n)]
    returnlist = [(np.cos(theta),np.sin(theta)) for theta in thetas]
    return return_list

G_pc = nx.Graph()
G_pc.add_edges_from(edges_2212)
circular_positions = get_coordinates_in_circle(len(dps_2211))
#it's not clear to me why you don't define circular_positions after
#fixed_nodes with len(fixed_nodes) so that they are guaranteed to 
#be evenly spaced.

fixed_nodes = [n for n in G_pc.nodes() if n in production_companies]

pos = {}
for i,p in enumerate(fixed_nodes):
    pos[p] = circular_positions[i]

colors = get_node_colors(G_pc, "gender")
pos = nx.spring_layout(G_pc,pos=pos, fixed=fixed_nodes)
nx.draw_networkx_nodes(G_pc, pos, cmap=plt.get_cmap('jet'), node_color=colors, node_size=50, alpha=0.5)
nx.draw_networkx_edges(G_pc,pos, alpha=0.01)
plt.show()

Here's the error I see:

import networkx as nx
G=nx.Graph()
G.add_edge(1,2)
pos = nx.spring_layout(G, fixed=[1,2])

---------------------------------------------------------------------------
UnboundLocalError                         Traceback (most recent call last)
<ipython-input-4-e9586af20cc2> in <module>()
----> 1 pos = nx.spring_layout(G, fixed=[1,2])

.../networkx/drawing/layout.pyc in fruchterman_reingold_layout(G, dim, k, pos, fixed, iterations, weight, scale)
    253            # We must adjust k by domain size for layouts that are not near 1x1
    254            nnodes,_ = A.shape
--> 255            k=dom_size/np.sqrt(nnodes)
    256         pos=_fruchterman_reingold(A,dim,k,pos_arr,fixed,iterations)
    257     if fixed is None:

UnboundLocalError: local variable 'dom_size' referenced before assignment