def knightsGraph(board_size=8):
g = Graph()
for row in range(board_size):
for col in range(board_size):
currPos = getNormalizedPos(row, col, board_size)
newPos = getPossiblePositions(row, col, board_size)
for pos in newPos:
g.addEdge(currPos, pos)
return g
def allMoves(bdSize):
ktGraph = Graph()
for row in range(bdSize):
for col in range(bdSize):
nodeId = posToNodeId(row, col, bdSize)
newPositions = genAllMoves(row, col, bdSize)
for e in newPositions:
nid = posToNodeId(e[0], e[1], bdSize)
ktGraph.addEdge(nodeId, nid)
return ktGraph
def knightGraph(bdSize):
ktGraph = Graph()
for row in range(bdSize):
for col in range(bdSize):
#import pdb; pdb.set_trace()
nodeId = posToNodeId(row, col, bdSize)
newPositions = genLegalMoves(row, col, bdSize)
for e in newPositions:
nid = posToNodeId(e[0], e[1], bdSize)
ktGraph.addEdge(nodeId, nid)
# import pdb; pdb.set_trace()
return ktGraph
def buildGraph(words):
d = {}
g = Graph()
for word in words:
for i in range(len(word)):
bucket = word[:i] + "_" + word[i + 1:]
if bucket in d:
d[bucket].append(word)
else:
d[bucket] = [word]
for bucket in d.keys():
for word1 in d[bucket]:
for word2 in d[bucket]:
if word1 != word2:
g.addEdge(word1, word2)
return g
def prims(graph, start):
print("Finding minimum spanning tree")
graph.print()
minSpanTree = Graph()
heap = EdgeMinHeap()
visited = dict()
for vertex in graph.getVertices():
visited[vertex] = False
minSpanTree.addVertex(start)
visited[start] = True
print("Adding edges adjacent to initial vertex to potential edges")
for edge in graph.getAdjEdges(start):
heap.siftUp(edge[0], edge[1], edge[2])
heap.print()
done = heap.isEmpty()
while not done:
print("Sifting down to find shortest edge with an unvisited destination")
heap.print()
top = heap.siftDown()
found = not visited[top[1]] # top.to
done = heap.isEmpty()
heap.print()
while not found and not done:
top = heap.siftDown()
found = not visited[top[1]]
heap.print()
if heap.isEmpty():
done = True
if not found:
break
print(str(top) + " is a valid edge. Adding to MST")
visited[top[1]] = True
minSpanTree.addVertex(top[1])
minSpanTree.addEdge(top[0], top[1], top[2])
print("Adding edges adjacent to " + str(top[1]) + " to potential edges")
for edge in graph.getAdjEdges(top[1]):
if not visited[edge[1]]:
heap.siftUp(edge[0], edge[1], edge[2])
heap.print()
return minSpanTree
def create_word_puzzle_graph(fl):
d = {}
with open(fl, 'r') as f:
for word in f:
word = word[:-1]
for i in range(len(word)):
bucket = word[:i] + '_' + word[i+1:]
if d.has_key(bucket):
d[bucket].append(word)
else:
d[bucket] = [word]
g = Graph()
for start in d.keys():
wordlist = d[start]
if len(wordlist) <= 1:
continue
for word in wordlist[1:]:
g.addEdge(wordlist[0], word)
return g
def buildGraph(wordFile):
d = {}
g = Graph()
with open(wordFile) as wfile:
for line in wfile:
word = line.strip()
for i in range(len(word)):
bucket = word[:i] + '_' + word[i + 1:]
if d.get(bucket, False):
d[bucket].append(word)
else:
d[bucket] = []
d[bucket].append(word)
#return d
for bucket in d.keys():
for word1 in d[bucket]:
for word2 in d[bucket]:
if word1 != word2:
g.addEdge(word1, word2)
return g
def buildGraph(wordFile):
d = {}
g = Graph()
wfile = open(wordFile, 'r')
# create buckets of words that differ by one letter
for line in wfile:
word = line[:-1]
for i in range(len(word)):
bucket = word[:i] + '_' + word[i + 1:]
if bucket in d:
d[bucket].append(word)
else:
d[bucket] = [word]
# add vertices and edges for words in the same bucket
for bucket in d.keys():
for word1 in d[bucket]:
for word2 in d[bucket]:
if word1 != word2:
g.addEdge(word1, word2)
return g
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Mon Oct 31 23:35:38 2016
@author: jpdjere
"""
from graphs import Node, Edge, Digraph, Graph
nodes = []
nodes.append(Node("ABC")) # nodes[0]
nodes.append(Node("ACB")) # nodes[1]
nodes.append(Node("BAC")) # nodes[2]
nodes.append(Node("BCA")) # nodes[3]
nodes.append(Node("CAB")) # nodes[4]
nodes.append(Node("CBA")) # nodes[5]
g = Graph()
for n in nodes:
g.addNode(n)
g.addEdge(Edge(g.getNode('ABC'), g.getNode('ACB')))
g.addEdge(Edge(g.getNode('ACB'), g.getNode('CAB')))
g.addEdge(Edge(g.getNode('CAB'), g.getNode('CBA')))
g.addEdge(Edge(g.getNode('CBA'), g.getNode('BCA')))
g.addEdge(Edge(g.getNode('BCA'), g.getNode('BAC')))
g.addEdge(Edge(g.getNode('BAC'), g.getNode('ABC')))
print(g)
n = g.getSize()
leaves = []
for node in g:
vertex = g.getVertex(node)
if vertex.degree == 0 or vertex.degree == 1:
leaves.append(vertex)
vertex.setDegree(0)
count = len(leaves)
while count < n:
new_leaves = []
for node in leaves:
for nbr in node.getConnections():
vertex = g.getVertex(nbr)
vertex.setDegree(vertex.getDegree() - 1)
if vertex.getDegree() == 1:
new_leaves.append(vertex)
node.setDegree(0)
count += len(new_leaves)
leaves = new_leaves
return leaves
for t in range(int(input())):
n = int(input())
g = Graph()
for i in range(n):
a, b = map(str, input().split())
g.addEdge(a, b)
print(treeCenters(g))
from graphs import Vertex, Graph
wordlist='wordlist.txt'
file=open(wordlist,'r')
words={}
g = Graph()
# create word buckets and add words associated with each bucket
for line in file:
word = line[:-1]
for i in range(len(word)):
wordbucket=word[:i]+'_'+word[i:]
# if word doesnt exist in words dict add it to the list for that bucket
if wordbucket in words:
words[wordbucket].append(word)
# add first word bucket to dictionary
else:
words[wordbucket]=[word]
# Connect all the words within each work bucket together
for wordbucket in words.keys():
for word1 in words[wordbucket]:
for word2 in words[wordbucket]:
g.addEdge(word1,word2,0)
def dfs(g, ordering, v):
for node in v.getConnections():
vertex = g.getVertex(node)
if vertex.isVisited():
continue
dfs(g, ordering, vertex)
v.setVisited(True)
ordering.appendleft(v.val)
def helper(g, ordering):
for node in g:
vertex = g.getVertex(node)
if vertex.isVisited():
continue
dfs(g, ordering, vertex)
ordering = deque()
helper(g, ordering)
return ordering
if __name__ == '__main__':
for t in range(int(input())):
n = int(input())
g = Graph(undirected=False)
for i in range(n):
src, dst = map(int, input().split())
g.addEdge(src, dst)
order = topological_sorting(g)
print(order)
