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36 changes: 36 additions & 0 deletions Graph/Dijkstra.py
Original file line number Diff line number Diff line change
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#Dijkstra's single source shortest path algorithm

class Graph():

def __init__(self, vertices):
self.vertices = vertices
self.graph = [[0 for column in range(vertices)] for row in range(vertices)]

def min_distance(self, dist, min_dist_set):
min_dist = float("inf")
for v in range(self.vertices):
if dist[v] < min_dist and min_dist_set[v] == False:
min_dist = dist[v]
min_index = v
return min_index

def dijkstra(self, src):

dist = [float("inf")] * self.vertices
dist[src] = 0
min_dist_set = [False] * self.vertices

for count in range(self.vertices):

#minimum distance vertex that is not processed
u = self.min_distance(dist, min_dist_set)

#put minimum distance vertex in shortest tree
min_dist_set[u] = True

#Update dist value of the adjacent vertices
for v in range(self.vertices):
if self.graph[u][v] > 0 and min_dist_set[v] == False and dist[v] > dist[u] + self.graph[u][v]:
dist[v] = dist[u] + self.graph[u][v]

return dist