While implementing Karger's minimum cut algorithm in python,i am getting the output as
edgelist remaining: [[11, 20], [11, 20], [20, 11], [20, 11], [20, 11]]
nodelist remaining: [11, 20]
Does this mean that the minimum cut is 5? I am using the following code:
with open('foo1.txt') as req_file:
mincut_data = []
for line in req_file:
line = line.split()
if line:
line = [int(i) for i in line]
mincut_data.append(line)
#extracting edges from the data #
edgelist = []
nodelist = []
for every_list in mincut_data:
nodelist.append(every_list[0])
temp_list = []
for temp in range(1,len(every_list)):
temp_list = [every_list[0], every_list[temp]]
flag = 0
for ad in edgelist:
if set(ad) == set(temp_list):
flag = 1
if flag == 0 :
edgelist.append([every_list[0],every_list[temp]])
#karger min cut algorithm#
while(len(nodelist) > 2):
val = randint(0,(len(edgelist)-1))
print (val)
target_edge = edgelist[val]
replace_with = target_edge[0]
should_replace = target_edge[1]
for edge in edgelist:
if(edge[0] == should_replace):
edge[0] = replace_with
if(edge[1] == should_replace):
edge[1] = replace_with
nodelist.remove(should_replace)
for i in range((len(edgelist)-1),-1,-1):
if edgelist[i][0] == edgelist[i][1]:
edgelist.remove(edgelist[i])
print ('edgelist remaining: ',edgelist)
print ('nodelist remaining: ',nodelist)
I am trying to learn Karger's algorithm in python but i am not sure whether this is correct.
I found the answer.The edge list remaining seems to be minimum cut.Since Karger's algorithm is a randomized algorithm,the program needs to be run multiple times to get the best solution.