def _DFS(self, g: Graph, v):
self._unexploredV.remove(v)
for e in g.incident_edges(v):
if self._unexploredE.__contains__(e):
self._unexploredE.remove(e)
if self._unexploredV.__contains__(e.toVertex()):
if e.toVertex == g.end():
self._counter = self._counter + 1
else:
self._DFS(g, e.toVertex())
def max_value(graf : Graph, vertex):
global mx
if(mySet.__len__() == graf.num_vertices()):
return mx
if(vertex > mx):
mx = vertex
if not mySet.__contains__(vertex):
mySet.add(vertex)
LastVisitet = vertex
for i in graf.adjacent_vertices(vertex):
if not mySet.__contains__(i):
return max_value(graf, i)
return max_value(graf, LastVisitet)
def DFS(self, g: Graph):
for u in g.vertices():
self._unexploredV.append(u)
for u in g.edges():
self._unexploredE.append(u)
print("Unexplored edge:")
for i in self._unexploredE:
print(i)
print("Unexplored vertex")
for i in self._unexploredV:
print(i)
for u in self._unexploredV:
self._DFS(g, u)
def is_connected(self, g: Graph):
counter = 0
for i in self.iterator_dfs(g, 15):
counter += 1
if counter == g.num_vertices():
return True
return False
def _DFS(self, g: Graph, v):
self._unexploredV.remove(v)
for e in g.incident_edges(v):
if self._unexploredE.__contains__(e):
self._unexploredE.remove(e)
for w in e.endpoints():
if w != v and self._unexploredV.__contains__(w):
self._DFS(g, w)
def opgD(f, s, g, u, d):
g = Graph()
#opretter alle hjørner
for i in range(1, f):
g.insert_vertex(i)
#indsætter kanter
myVertices = list(g.vertices())
for i in range(1, f, u):
g.insert_edge(i, myVertices)
def kruskal(g: Graph):
q = HeapPriorityQueue()
clusters = []
T = []
for v in g.vertices():
clusters.append([v])
v.pos = len(clusters) - 1
for e in g.edges():
q.add(e._element, e)
while len(T) < g.num_vertices() - 1:
(w, e) = q.remove_min()
v1 = g.end_vertices(e)[0]
v2 = g.end_vertices(e)[1]
A = clusters[v1.pos]
B = clusters[v2.pos]
if A != B:
_merege(A, B)
T.append(e)
return T
def kruskal(g: Graph):
q = HeapPriorityQueue()
T = [] #Holder listen af edges med minimal vægt
trees = {}
union = unionFind()
for v in g.vertices():
trees[v] = union.makeset(v)
for e in g.edges():
q.add(e._element, e)
while len(T) < g.num_vertices() - 1:
(u, e) = q.remove_min()
v1 = g.end_vertices(e)[0]
v2 = g.end_vertices(e)[1]
leaderv1 = union.quickFind(trees[v1])
leaderv2 = union.quickFind(trees[v2])
if leaderv1._element != leaderv2._element:
union.quickUnion(leaderv1, leaderv2)
T.append(e)
return T
def build_graph(routes):
G = Graph()
for r in routes: # r = [a, b, c], a & b: Vertices, c: int edge label.
a1 = r[0]
a2 = r[1]
c = r[2]
v1 = Vertex(a1)
v2 = Vertex(a2)
vertices = list(G.vertices())
if vertices:
found_v1 = False
found_v2 = False
v1_str = v1.__str__()
v2_str = v2.__str__()
for v in vertices:
v_str = v.__str__()
if v_str == v1_str:
found_v1 = True
va = v
elif v_str == v2_str:
found_v2 = True
vb = v
else:
continue
if not found_v1:
va = G.insert_vertex(a1)
if not found_v2:
vb = G.insert_vertex(a2)
else:
va = G.insert_vertex(a1)
vb = G.insert_vertex(a2)
G.insert_edge(c, va, vb)
return G
def _findResidualNetwork(self):
graph = self._graph
residualGraph = Graph()
residualGraph._source = graph.source
residualGraph._sink = graph.sink
# laver en residual edge re med en eksra attribut cf, som indeholder
# hvor meget mere flow denne edge kan tage
for v in graph.vertices():
residualGraph.insert_vertex(v)
print("***Residualnetwork edges before***")
for e in graph.edges():
#re == residual edge
re = Vertex(e.element())
re.cf = e.capacity() - e.element()
residualGraph.insert_edge(e.element(), e.capacity(), e.vertexFrom(), e.vertexTo())
print("e.element: ", e.element(), "e.capacity: ", e.capacity())
print("re.cf ", re.cf)
return residualGraph
def RobotOnAGrid(num, maze):
graph = Graph()
graph.setEnd(str(len(maze) - 1) + " " + maze[len(maze) - 1])
graph.setStart(str(0) + " " + maze[0])
v1 = None
v3 = None
v2 = None
dfs = dfs_iterator()
#Laver knuder for alle "," tegene i mazeen
for i in range(len(maze)):
#Skifter linje
if i % 4 == 0 and i != 0:
pass
#Tilføjer knuder til højre
elif maze[i] != '#' and maze[i + 1] != '#':
v1 = graph.insert_vertex(str(i) + " " + str(maze[i]))
v2 = graph.insert_vertex(str(i) + " " + str(maze[i + 1]))
graph.insert_edge("R", v1, v2)
#Tilføj knuder ned af
elif maze[i + 5] != '#' and maze[i + num] != None:
v3 = graph.insert_vertex(str(i) + " " + str(maze[i + num]))
graph.insert_edge("D", v1, v3)
#tilføj knuder til venstre
elif maze[i] != '#' and maze[i - 1] != '#' and maze[i - 1] != None:
v1 = graph.insert_vertex(str(i) + " " + str(maze[i]))
v2 = graph.insert_vertex(str(i) + " " + str(maze[i + 1]))
graph.insert_edge("L", v2, v1)
#tilføj knuder op af
elif maze[i] != '#' and maze[i - num] != None:
v3 = graph.insert_vertex(str(i) + " " + str(maze[i - num]))
graph.insert_edge("U", v3, v1)
return dfs.DFS(graph)
def _merege(A, B):
if len(A) > len(B):
biggest = A
smallest = B
else:
biggest = B
smallest = A
for i in range(len(smallest)):
biggest.append(smallest[i])
smallest.pop(i)
g = Graph()
v15 = g.insert_vertex(15)
v6 = g.insert_vertex(6)
v38 = g.insert_vertex(38)
v123 = g.insert_vertex(123)
v66 = g.insert_vertex(66)
g.insert_edge(10, v15, v38)
g.insert_edge(23, v15, v6)
g.insert_edge(90, v15, v66)
g.insert_edge(8, v66, v6)
g.insert_edge(2, v66, v38)
g.insert_edge(76, v66, v123)
g.insert_edge(7, v123, v6)
g.insert_edge(55, v123, v38)
for u in g.edges():
self._unexploredE.append(u)
print("Unexplored edge:")
for i in self._unexploredE:
print(i)
print("Unexplored vertex")
for i in self._unexploredV:
print(i)
for u in self._unexploredV:
self._DFS(g, u)
g = Graph()
v15 = g.insert_vertex(15)
v6 = g.insert_vertex(6)
v38 = g.insert_vertex(38)
v123 = g.insert_vertex(123)
v66 = g.insert_vertex(66)
g.insert_edge(10, v15, v38)
g.insert_edge(23, v15, v6)
g.insert_edge(90, v15, v66)
g.insert_edge(8, v66, v6)
g.insert_edge(2, v66, v38)
g.insert_edge(76, v66, v123)
g.insert_edge(7, v123, v6)
g.insert_edge(55, v123, v38)
from edge_list_graph import Edge as Edge
from edge_list_graph import Graph as Graph
from edge_list_graph import Vertex as Vertex
from adjacency_list_graph import Edge as Edge
from adjacency_list_graph import Graph as Graph
from adjacency_list_graph import Vertex as Vertex
g = Graph()
g.insert_vertex(15)
g.insert_vertex(6)
g.insert_vertex(38)
g.insert_vertex(123)
g.insert_vertex(66)
g.insert_edge(10,15,38)
g.insert_edge(23, 15,6)
g.insert_edge(90, 15,66)
g.insert_edge(8, 66,6)
g.insert_edge(2, 66,38)
g.insert_edge(76, 66,123)
g.insert_edge(7, 123,6)
g.insert_edge(55, 123,38)
LastVisitet = 0
mx = -1
mySet = set()
def max_value(graf : Graph, vertex):
global mx
return
self._unexploredV.remove(v)
for e in graph.incident_edges(v):
if self._unexploredE.__contains__(e):
self._unexploredE.remove(e)
if e.cf >0:
self._augmentingPath.append(e)
w = e.vertexTo()
if w == graph.sink:
return
if self._unexploredV.__contains__(w):
self._DFS(w)
g = Graph()
v15 = g.insert_vertex(15)
v6 = g.insert_vertex(6)
v38 = g.insert_vertex(38)
v123 = g.insert_vertex(123)
v66 = g.insert_vertex(66)
g.source = v15
g.sink = v123
g.insert_edge(10,20,v15,v38)
g.insert_edge(23, 30, v15,v6)
g.insert_edge(90,100, v15,v66)
g.insert_edge(8, 16,v66,v6)
g.insert_edge(2, 16, v66,v38)
