mirror of
https://github.com/TheAlgorithms/Python.git
synced 2025-01-31 06:33:44 +00:00
Merge branch 'master' of git://github.com/SafariGit/Python into SafariGit-master
This commit is contained in:
commit
eb5ccd5bda
438
graphs/Directed and Undirected (Weighted) Graph
Normal file
438
graphs/Directed and Undirected (Weighted) Graph
Normal file
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@ -0,0 +1,438 @@
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from collections import deque
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import random as rand
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import math as math
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# the dfault weight is 1 if not assigend but all the implementation is weighted
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class DirectedGraph:
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def __init__(self):
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self.graph = {}
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# adding vertices and edges
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# adding the weight is optional
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# handels repetition
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def add_pair(self, u, v, w = 1):
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if self.graph.get(u):
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if self.graph[u].count([w,v]) == 0:
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self.graph[u].append([w, v])
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else:
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self.graph[u] = [[w, v]]
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if not self.graph.get(v):
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self.graph[v] = []
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# handels if the input does not exist
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def remove_pair(self, u, v):
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if self.graph.get(u):
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for _ in self.graph[u]:
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if _[1] == v:
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self.graph[u].remove(_)
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# if no destination is meant the defaut value is -1
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def dfs(self, s = -2, d = -1):
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if s == d:
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return []
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stack = []
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visited = []
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if s == -2:
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s = list(self.graph.keys())[0]
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stack.append(s)
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visited.append(s)
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ss = s
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|
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|
while True:
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|
# check if there is any non isolated nodes
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if len(self.graph[s]) != 0:
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|
ss = s
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for __ in self.graph[s]:
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|
if visited.count(__[1]) < 1:
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|
if __[1] == d:
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visited.append(d)
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return visited
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else:
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|
stack.append(__[1])
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visited.append(__[1])
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ss =__[1]
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break
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|
# check if all the children are visited
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|
if s == ss :
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stack.pop()
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|
if len(stack) != 0:
|
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|
s = stack[len(stack) - 1]
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|
else:
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s = ss
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|
|
||||||
|
# check if se have reached the starting point
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|
if len(stack) == 0:
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return visited
|
||||||
|
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|
# c is the count of nodes you want and if you leave it or pass -1 to the funtion the count
|
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|
# will be random from 10 to 10000
|
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|
def fill_graph_randomly(self, c = -1):
|
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|
if c == -1:
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|
c = (math.floor(rand.random() * 10000)) + 10
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|
for _ in range(c):
|
||||||
|
# every vertex has max 100 edges
|
||||||
|
e = math.floor(rand.random() * 102) + 1
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|
for __ in range(e):
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n = math.floor(rand.random() * (c)) + 1
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|
if n == _:
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|
continue
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|
self.add_pair(_, n, 1)
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def bfs(self, s = -2):
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d = deque()
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visited = []
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if s == -2:
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|
s = list(self.graph.keys())[0]
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d.append(s)
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visited.append(s)
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|
while d:
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s = d.popleft()
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|
if len(self.graph[s]) != 0:
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|
for __ in self.graph[s]:
|
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|
if visited.count(__[1]) < 1:
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d.append(__[1])
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visited.append(__[1])
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return visited
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def in_degree(self, u):
|
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count = 0
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for _ in self.graph:
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for __ in self.graph[_]:
|
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|
if __[1] == u:
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count += 1
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return count
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def out_degree(self, u):
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|
return len(self.graph[u])
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|
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def topological_sort(self, s = -2):
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|
stack = []
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visited = []
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|
if s == -2:
|
||||||
|
s = list(self.graph.keys())[0]
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|
stack.append(s)
|
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|
visited.append(s)
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|
ss = s
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|
sorted_nodes = []
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|
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|
while True:
|
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|
# check if there is any non isolated nodes
|
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|
if len(self.graph[s]) != 0:
|
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|
ss = s
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
stack.append(__[1])
|
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|
visited.append(__[1])
|
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|
ss =__[1]
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|
break
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||||||
|
# check if all the children are visited
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|
if s == ss :
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sorted_nodes.append(stack.pop())
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|
if len(stack) != 0:
|
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|
s = stack[len(stack) - 1]
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|
else:
|
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|
s = ss
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|
# check if se have reached the starting point
|
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|
if len(stack) == 0:
|
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|
return sorted_nodes
|
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|
|
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|
def cycle_nodes(self):
|
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|
stack = []
|
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|
visited = []
|
||||||
|
s = list(self.graph.keys())[0]
|
||||||
|
stack.append(s)
|
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|
visited.append(s)
|
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|
parent = -2
|
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|
indirect_parents = []
|
||||||
|
ss = s
|
||||||
|
anticipating_nodes = set()
|
||||||
|
|
||||||
|
while True:
|
||||||
|
# check if there is any non isolated nodes
|
||||||
|
if len(self.graph[s]) != 0:
|
||||||
|
ss = s
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) > 0 and __[1] != parent and indirect_parents.count(__[1]) > 0 and not on_the_way_back:
|
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|
l = len(stack) - 1
|
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|
while True and l >= 0:
|
||||||
|
if stack[l] == __[1]:
|
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|
anticipating_nodes.add(__[1])
|
||||||
|
break
|
||||||
|
else:
|
||||||
|
anticipating_nodes.add(stack[l])
|
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|
l -= 1
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
stack.append(__[1])
|
||||||
|
visited.append(__[1])
|
||||||
|
ss =__[1]
|
||||||
|
break
|
||||||
|
|
||||||
|
# check if all the children are visited
|
||||||
|
if s == ss :
|
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|
stack.pop()
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|
on_the_way_back = True
|
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|
if len(stack) != 0:
|
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|
s = stack[len(stack) - 1]
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|
else:
|
||||||
|
on_the_way_back = False
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|
indirect_parents.append(parent)
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||||||
|
parent = s
|
||||||
|
s = ss
|
||||||
|
|
||||||
|
# check if se have reached the starting point
|
||||||
|
if len(stack) == 0:
|
||||||
|
return list(anticipating_nodes)
|
||||||
|
|
||||||
|
def has_cycle(self):
|
||||||
|
stack = []
|
||||||
|
visited = []
|
||||||
|
s = list(self.graph.keys())[0]
|
||||||
|
stack.append(s)
|
||||||
|
visited.append(s)
|
||||||
|
parent = -2
|
||||||
|
indirect_parents = []
|
||||||
|
ss = s
|
||||||
|
anticipating_nodes = set()
|
||||||
|
|
||||||
|
while True:
|
||||||
|
# check if there is any non isolated nodes
|
||||||
|
if len(self.graph[s]) != 0:
|
||||||
|
ss = s
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) > 0 and __[1] != parent and indirect_parents.count(__[1]) > 0 and not on_the_way_back:
|
||||||
|
l = len(stack) - 1
|
||||||
|
while True and l >= 0:
|
||||||
|
if stack[l] == __[1]:
|
||||||
|
anticipating_nodes.add(__[1])
|
||||||
|
break
|
||||||
|
else:
|
||||||
|
return True
|
||||||
|
anticipating_nodes.add(stack[l])
|
||||||
|
l -= 1
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
stack.append(__[1])
|
||||||
|
visited.append(__[1])
|
||||||
|
ss =__[1]
|
||||||
|
break
|
||||||
|
|
||||||
|
# check if all the children are visited
|
||||||
|
if s == ss :
|
||||||
|
stack.pop()
|
||||||
|
on_the_way_back = True
|
||||||
|
if len(stack) != 0:
|
||||||
|
s = stack[len(stack) - 1]
|
||||||
|
else:
|
||||||
|
on_the_way_back = False
|
||||||
|
indirect_parents.append(parent)
|
||||||
|
parent = s
|
||||||
|
s = ss
|
||||||
|
|
||||||
|
# check if se have reached the starting point
|
||||||
|
if len(stack) == 0:
|
||||||
|
return False
|
||||||
|
|
||||||
|
class Graph:
|
||||||
|
def __init__(self):
|
||||||
|
self.graph = {}
|
||||||
|
|
||||||
|
# adding vertices and edges
|
||||||
|
# adding the weight is optional
|
||||||
|
# handels repetition
|
||||||
|
def add_pair(self, u, v, w = 1):
|
||||||
|
# check if the u exists
|
||||||
|
if self.graph.get(u):
|
||||||
|
# if there already is a edge
|
||||||
|
if self.graph[u].count([w,v]) == 0:
|
||||||
|
self.graph[u].append([w, v])
|
||||||
|
else:
|
||||||
|
# if u does not exist
|
||||||
|
self.graph[u] = [[w, v]]
|
||||||
|
# add the other way
|
||||||
|
if self.graph.get(v):
|
||||||
|
# if there already is a edge
|
||||||
|
if self.graph[v].count([w,u]) == 0:
|
||||||
|
self.graph[v].append([w, u])
|
||||||
|
else:
|
||||||
|
# if u does not exist
|
||||||
|
self.graph[v] = [[w, u]]
|
||||||
|
|
||||||
|
# handels if the input does not exist
|
||||||
|
def remove_pair(self, u, v):
|
||||||
|
if self.graph.get(u):
|
||||||
|
for _ in self.graph[u]:
|
||||||
|
if _[1] == v:
|
||||||
|
self.graph[u].remove(_)
|
||||||
|
# the other way round
|
||||||
|
if self.graph.get(v):
|
||||||
|
for _ in self.graph[v]:
|
||||||
|
if _[1] == u:
|
||||||
|
self.graph[v].remove(_)
|
||||||
|
|
||||||
|
# if no destination is meant the defaut value is -1
|
||||||
|
def dfs(self, s = -2, d = -1):
|
||||||
|
if s == d:
|
||||||
|
return []
|
||||||
|
stack = []
|
||||||
|
visited = []
|
||||||
|
if s == -2:
|
||||||
|
s = list(self.graph.keys())[0]
|
||||||
|
stack.append(s)
|
||||||
|
visited.append(s)
|
||||||
|
ss = s
|
||||||
|
|
||||||
|
while True:
|
||||||
|
# check if there is any non isolated nodes
|
||||||
|
if len(self.graph[s]) != 0:
|
||||||
|
ss = s
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
if __[1] == d:
|
||||||
|
visited.append(d)
|
||||||
|
return visited
|
||||||
|
else:
|
||||||
|
stack.append(__[1])
|
||||||
|
visited.append(__[1])
|
||||||
|
ss =__[1]
|
||||||
|
break
|
||||||
|
|
||||||
|
# check if all the children are visited
|
||||||
|
if s == ss :
|
||||||
|
stack.pop()
|
||||||
|
if len(stack) != 0:
|
||||||
|
s = stack[len(stack) - 1]
|
||||||
|
else:
|
||||||
|
s = ss
|
||||||
|
|
||||||
|
# check if se have reached the starting point
|
||||||
|
if len(stack) == 0:
|
||||||
|
return visited
|
||||||
|
|
||||||
|
# c is the count of nodes you want and if you leave it or pass -1 to the funtion the count
|
||||||
|
# will be random from 10 to 10000
|
||||||
|
def fill_graph_randomly(self, c = -1):
|
||||||
|
if c == -1:
|
||||||
|
c = (math.floor(rand.random() * 10000)) + 10
|
||||||
|
for _ in range(c):
|
||||||
|
# every vertex has max 100 edges
|
||||||
|
e = math.floor(rand.random() * 102) + 1
|
||||||
|
for __ in range(e):
|
||||||
|
n = math.floor(rand.random() * (c)) + 1
|
||||||
|
if n == _:
|
||||||
|
continue
|
||||||
|
self.add_pair(_, n, 1)
|
||||||
|
|
||||||
|
def bfs(self, s = -2):
|
||||||
|
d = deque()
|
||||||
|
visited = []
|
||||||
|
if s == -2:
|
||||||
|
s = list(self.graph.keys())[0]
|
||||||
|
d.append(s)
|
||||||
|
visited.append(s)
|
||||||
|
while d:
|
||||||
|
s = d.popleft()
|
||||||
|
if len(self.graph[s]) != 0:
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
d.append(__[1])
|
||||||
|
visited.append(__[1])
|
||||||
|
return visited
|
||||||
|
def degree(self, u):
|
||||||
|
return len(self.graph[u])
|
||||||
|
|
||||||
|
def cycle_nodes(self):
|
||||||
|
stack = []
|
||||||
|
visited = []
|
||||||
|
s = list(self.graph.keys())[0]
|
||||||
|
stack.append(s)
|
||||||
|
visited.append(s)
|
||||||
|
parent = -2
|
||||||
|
indirect_parents = []
|
||||||
|
ss = s
|
||||||
|
anticipating_nodes = set()
|
||||||
|
|
||||||
|
while True:
|
||||||
|
# check if there is any non isolated nodes
|
||||||
|
if len(self.graph[s]) != 0:
|
||||||
|
ss = s
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) > 0 and __[1] != parent and indirect_parents.count(__[1]) > 0 and not on_the_way_back:
|
||||||
|
l = len(stack) - 1
|
||||||
|
while True and l >= 0:
|
||||||
|
if stack[l] == __[1]:
|
||||||
|
anticipating_nodes.add(__[1])
|
||||||
|
break
|
||||||
|
else:
|
||||||
|
anticipating_nodes.add(stack[l])
|
||||||
|
l -= 1
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
stack.append(__[1])
|
||||||
|
visited.append(__[1])
|
||||||
|
ss =__[1]
|
||||||
|
break
|
||||||
|
|
||||||
|
# check if all the children are visited
|
||||||
|
if s == ss :
|
||||||
|
stack.pop()
|
||||||
|
on_the_way_back = True
|
||||||
|
if len(stack) != 0:
|
||||||
|
s = stack[len(stack) - 1]
|
||||||
|
else:
|
||||||
|
on_the_way_back = False
|
||||||
|
indirect_parents.append(parent)
|
||||||
|
parent = s
|
||||||
|
s = ss
|
||||||
|
|
||||||
|
# check if se have reached the starting point
|
||||||
|
if len(stack) == 0:
|
||||||
|
return list(anticipating_nodes)
|
||||||
|
|
||||||
|
def has_cycle(self):
|
||||||
|
stack = []
|
||||||
|
visited = []
|
||||||
|
s = list(self.graph.keys())[0]
|
||||||
|
stack.append(s)
|
||||||
|
visited.append(s)
|
||||||
|
parent = -2
|
||||||
|
indirect_parents = []
|
||||||
|
ss = s
|
||||||
|
anticipating_nodes = set()
|
||||||
|
|
||||||
|
while True:
|
||||||
|
# check if there is any non isolated nodes
|
||||||
|
if len(self.graph[s]) != 0:
|
||||||
|
ss = s
|
||||||
|
for __ in self.graph[s]:
|
||||||
|
if visited.count(__[1]) > 0 and __[1] != parent and indirect_parents.count(__[1]) > 0 and not on_the_way_back:
|
||||||
|
l = len(stack) - 1
|
||||||
|
while True and l >= 0:
|
||||||
|
if stack[l] == __[1]:
|
||||||
|
anticipating_nodes.add(__[1])
|
||||||
|
break
|
||||||
|
else:
|
||||||
|
return True
|
||||||
|
anticipating_nodes.add(stack[l])
|
||||||
|
l -= 1
|
||||||
|
if visited.count(__[1]) < 1:
|
||||||
|
stack.append(__[1])
|
||||||
|
visited.append(__[1])
|
||||||
|
ss =__[1]
|
||||||
|
break
|
||||||
|
|
||||||
|
# check if all the children are visited
|
||||||
|
if s == ss :
|
||||||
|
stack.pop()
|
||||||
|
on_the_way_back = True
|
||||||
|
if len(stack) != 0:
|
||||||
|
s = stack[len(stack) - 1]
|
||||||
|
else:
|
||||||
|
on_the_way_back = False
|
||||||
|
indirect_parents.append(parent)
|
||||||
|
parent = s
|
||||||
|
s = ss
|
||||||
|
|
||||||
|
# check if se have reached the starting point
|
||||||
|
if len(stack) == 0:
|
||||||
|
return False
|
Loading…
Reference in New Issue
Block a user