Get a list of all of your friend's mutual friends on facebook, then graph them.

get-json.py

#!/usr/bin/env python3
import urllib.request
from urllib.error import URLError
import json

def get_json(url):
    result_bytes = urllib.request.urlopen(url)
    return json.loads(str(result_bytes.read(),'utf-8'))



MY_FID="1606470111"
ACCESS_TOKEN = ""

FRIENDS_URL = "https://graph.facebook.com/{user}/friends?access_token={access_token}"
MUTUAL_FRIENDS_URL= "https://graph.facebook.com/{me}/mutualfriends?user={user}&access_token={access_token}"

next_url = FRIENDS_URL.format(user="me", access_token=ACCESS_TOKEN)

friends = {}


while True:
    results = get_json(next_url)
    friends.update({obj['id']: {"name": obj['name']} for obj in results['data']})
    try: 
        next_url = results['paging']['next']
    except KeyError:
        break
    

for fid in friends.keys():
    print(friends[fid]['name'])
    try:
        url = MUTUAL_FRIENDS_URL.format(me=MY_FID, user=fid, access_token=ACCESS_TOKEN)
        friends_of_fid = get_json(url)
    except URLError:
        print("- failed")
        continue
    
    friends[fid]['friends'] = {obj['id']: obj['name'] 
                               for obj in friends_of_fid['data']}


with open('friends-of-friends.json','w') as f:
    json.dump(friends, f)

graph-histogram.py

#!/usr/bin/env python2

import json
from math import ceil

import matplotlib.pyplot as plt
from matplotlib import mlab

JSON_FILE = "friends-of-friends.json"
BUCKET_INTERVAL = 5

with open(JSON_FILE) as f:
    fof = json.load(f)

mutualcount = [len(friend['friends']) for friend in fof.values()]

buckets = ceil(max(mutualcount) / float(BUCKET_INTERVAL))
max_range = buckets * BUCKET_INTERVAL

n, bins, patches = plt.hist(mutualcount, bins=buckets, range=(0,max_range), cumulative=-1) 

plt.plot(bins, linewidth=0)
plt.title("Histogram of Mutual Friends on Facebook")
plt.grid(True, axis='y')
plt.xlabel("At Least n Mutual Friends")
plt.ylabel("Number of Friends")
plt.show()