Degree, Proximity and Rank Prestige

Question

I want to find these three Prestige measures for an existing graph using python:

1. Degree Prestige
2. Proximity Prestige
3. Rank Prestige

Can I use networkx for this purpose? If not, then which library can I use and how can I do it. Any links or references are appreciated.

Answer 1

Yes, you can but you to implement the measures by yourself as far as I know.
For instance, consider the Degree prestige defined as the number of incoming links to a node divided by the total possible number of incoming links.

In this case you could just calculate it as:

n_nodes = 10
d = nx.gnp_random_graph(n_nodes, 0.5, directed=True)
degree_prestige = dict((v,len(d.in_edges(v))/(n_nodes-1)) for v in d.nodes_iter())

Same for the other measures which can be easily implemented used the functions defined by networkx.

Answer 2

n_nodes = 5
d = nx.gnp_random_graph(n_nodes, 0.5, directed=True)

degree_prestige = dict((v,len(d.in_edges(v))/(n_nodes-1)) for v in d.nodes())
print("DEGREE PRESTIGE :\n")

for i in degree_prestige:
    print(i, " : ", degree_prestige[i])

distance = []

temp_dis = 0
n = 0
for dest in d.nodes:
    temp_dis = 0
    n = 0
    for src in d.nodes:
        if (nx.has_path(d,src,dest) == True):
            temp_dis = temp_dis + nx.shortest_path_length(d,source = src,target = dest)
            n = n + 1
    if temp_dis == 0:
        distance.append([dest, 0])
    else:
        distance.append([dest, temp_dis/(n - 1)])
print("\nPROXIMITY PRESTIGE :\n")
for i in distance:
    print(str(i[0]) + " : " + str(i[1]))

prominance = np.random.randint(1, 4, size=n_nodes)
print("\nASSUME PROMINANCE :\n")
print(prominance)
rank_prestige = np.zeros([n_nodes], dtype = int)

path_matrix = np.zeros([n_nodes, n_nodes], dtype = int)
i = 0
j = 0
for src in d.nodes:
    for dest in d.nodes:
        if d.has_edge(dest, src):
            path_matrix[i][j] = 1
        j = j+1
    j = 0
    i = i+1
for i in range(n_nodes):
    pr_i = 0
    for j in range(n_nodes):
        pr_i = pr_i + path_matrix[i][j] * prominance[j]
    rank_prestige[i] = pr_i

print("\nRANK PRESTIGE :\n")
print(rank_prestige)