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kruskal.py
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import numpy as np
class Image(object):
def __init__(self,size):
self.size = size
self.juzhen = np.zeros((size,size),dtype=np.int)
def minitree(v):
m = v.juzhen.max() + 1
t = Image(v.size)
for k in range(0,v.size):
for n in range(0,v.size):
if(v.juzhen[k][n] == 0): v.juzhen[k][n] = m
c = 0
while(c<v.size):
for i in range(0, v.size):
for j in range(i+1, v.size):
if (v.juzhen[i][j] == v.juzhen.min() and v.juzhen.min() != v.juzhen.max()):
#print(v.juzhen.min())
# 遍历i
ti = []
tj = []
for ii in range(0, v.size):
if (t.juzhen[i][ii] != 0):
ti.append(ii)
# 遍历j
for jj in range(0, v.size):
if (t.juzhen[j][jj] != 0):
tj.append(jj)
#print(ti, tj)
# 遍历i,j查找是否存在两顶点在同一分量上
s = 0
for o in ti:
for p in tj:
if (t.juzhen[o][p] != 0 or o == p):
s = 1
break
if (s == 0):
t.juzhen[i][j] = t.juzhen[j][i] = v.juzhen[i][j]
v.juzhen[i][j] = v.juzhen[j][i] = m
c += 1
return t
a = Image(6)
test = [6,1,5,0,0,5,0,3,0,5,6,4,0,2,6]
n=0
for i in range(0,6):
for j in range(i+1,6):
a.juzhen[i][j] = a.juzhen[j][i] = test[n]
n+=1
'''def all(v):
a = np.zeros(v.size)
for i in range(0,6):
for j in range(i+1,6):
if(v.juzhen[i][j] != 0):
a[i] = 1
a[j] = 1
if(a.min() == 0): return 0
else: return 1'''
if __name__ == "__main__":
print(a.juzhen)
t = minitree(a)
print(t.juzhen)