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Graph.py
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270 lines (198 loc) · 7.12 KB
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import sys
class Stack (object):
def __init__ (self):
self.stack = []
# add an item to the top of the stack
def push (self, item):
self.stack.append (item)
# remove an item from the top of the stack
def pop (self):
return self.stack.pop()
# check the item on the top of the stack
def peek (self):
return self.stack[-1]
# check if the stack if empty
def is_empty (self):
return (len (self.stack) == 0)
# return the number of elements in the stack
def size (self):
return (len (self.stack))
class Queue (object):
def __init__ (self):
self.queue = []
# add an item to the end of the queue
def enqueue (self, item):
self.queue.append (item)
# remove an item from the beginning of the queue
def dequeue (self):
return (self.queue.pop(0))
# check if the queue is empty
def is_empty (self):
return (len (self.queue) == 0)
# return the size of the queue
def size (self):
return (len (self.queue))
class Vertex (object):
def __init__ (self, label):
self.label = label
self.visited = False
# determine if a vertex was visited
def was_visited (self):
return self.visited
# determine the label of the vertex
def get_label (self):
return self.label
# string representation of the vertex
def __str__ (self):
return str (self.label)
class Graph (object):
def __init__ (self):
self.Vertices = []
self.adjMat = []
# check if a vertex is already in the graph
def has_vertex (self, label):
nVert = len (self.Vertices)
for i in range (nVert):
if (label == (self.Vertices[i]).get_label()):
return True
return False
# given the label get the index of a vertex
def get_index (self, label):
nVert = len (self.Vertices)
for i in range (nVert):
if (label == (self.Vertices[i]).get_label()):
return i
return -1
# add a Vertex with a given label to the graph
def add_vertex (self, label):
if (self.has_vertex (label)):
return
# add vertex to the list of vertices
self.Vertices.append (Vertex (label))
# add a new column in the adjacency matrix
nVert = len (self.Vertices)
for i in range (nVert - 1):
(self.adjMat[i]).append (0)
# add a new row for the new vertex
new_row = []
for i in range (nVert):
new_row.append (0)
self.adjMat.append (new_row)
# add weighted directed edge to graph
def add_directed_edge (self, start, finish, weight = 1):
self.adjMat[start][finish] = weight
# add weighted undirected edge to graph
def add_undirected_edge (self, start, finish, weight = 1):
self.adjMat[start][finish] = weight
self.adjMat[finish][start] = weight
# return an unvisited vertex adjacent to vertex v (index)
def get_adj_unvisited_vertex (self, v):
nVert = len (self.Vertices)
for i in range (nVert):
if (self.adjMat[v][i] > 0) and (not (self.Vertices[i]).was_visited()):
return i
return -1
# do a depth first search in a graph
def dfs (self, v):
# create the Stack
theStack = Stack ()
# mark the vertex v as visited and push it on the Stack
(self.Vertices[v]).visited = True
print (self.Vertices[v])
theStack.push (v)
# visit all the other vertices according to depth
while (not theStack.is_empty()):
# get an adjacent unvisited vertex
u = self.get_adj_unvisited_vertex (theStack.peek())
if (u == -1):
u = theStack.pop()
else:
(self.Vertices[u]).visited = True
print (self.Vertices[u])
theStack.push (u)
# the stack is empty, let us rest the flags
nVert = len (self.Vertices)
for i in range (nVert):
(self.Vertices[i]).visited = False
# get edge weight between two vertices
# return -1 if edge does not exist
def get_edge_weight (self, fromVertexLabel, toVertexLabel):
from_idx = self.get_index(fromVertexLabel)
to_idx = self.get_index(toVertexLabel)
if from_idx!=-1 and to_idx!=-1: #checks if vertex exists
return self.adjMat[from_idx][to_idx]
else:
return -1
# get a list of immediate neighbors that you can go to from a vertex
# return a list of indices or an empty list if there are none
def get_neighbors (self, vertexLabel):
neighbors = []
index_of_v = self.get_index(vertexLabel)
if index_of_v!=-1: #checks if vertex exists
nVert = len (self.Vertices)
for i in range (nVert):
if (self.adjMat[index_of_v][i] > 0):
neighbors.append(i)
return neighbors
# get a copy of the list of Vertex objects
def get_vertices (self):
copy = []
copy = self.Vertices
return copy
# do the breadth first search in a graph
#FIXME
def bfs (self, v):
return
# delete an edge from the adjacency matrix
# delete a single edge if the graph is directed
# delete two edges if the graph is undirected
def delete_edge (self, fromVertexLabel, toVertexLabel):
from_idx = self.get_index(fromVertexLabel)
to_idx = self.get_index(toVertexLabel)
if from_idx!=-1 and to_idx!=-1: #checks if vertex exists
if self.adjMat[from_idx][to_idx]==self.adjMat[to_idx][from_idx]: #undirected graph
self.adjMat[from_idx][to_idx] = 0
self.adjMat[to_idx][from_idx] = 0
else: #directed graph
self.adjMat[from_idx][to_idx] = 0
# delete a vertex from the vertex list and all edges from and
# to it in the adjacency matrix
#FIXME
def delete_vertex (self, vertexLabel):
return
def main():
# create the Graph object
cities = Graph()
# read the number of vertices
line = sys.stdin.readline()
line = line.strip()
num_vertices = int (line)
# read the vertices to the list of Vertices
for i in range (num_vertices):
line = sys.stdin.readline()
city = line.strip()
cities.add_vertex (city)
# read the number of edges
line = sys.stdin.readline()
line = line.strip()
num_edges = int (line)
# read each edge and place it in the adjacency matrix
for i in range (num_edges):
line = sys.stdin.readline()
edge = line.strip()
edge = edge.split()
start = int (edge[0])
finish = int (edge[1])
weight = int (edge[2])
cities.add_directed_edge (start, finish, weight)
# read the starting vertex for dfs and bfs
line = sys.stdin.readline()
start_vertex = line.strip()
# get the index of the starting vertex
start_index = cities.get_index (start_vertex)
# do the depth first search
print ("Depth First Search")
cities.dfs (start_index)
print ()
if __name__ == "__main__":
main()