Python/graphs/kahns_algorithm_long.py
2019-10-05 10:14:13 +05:00

32 lines
778 B
Python

# Finding longest distance in Directed Acyclic Graph using KahnsAlgorithm
def longestDistance(l):
indegree = [0] * len(l)
queue = []
longDist = [1] * len(l)
for key, values in l.items():
for i in values:
indegree[i] += 1
for i in range(len(indegree)):
if indegree[i] == 0:
queue.append(i)
while queue:
vertex = queue.pop(0)
for x in l[vertex]:
indegree[x] -= 1
if longDist[vertex] + 1 > longDist[x]:
longDist[x] = longDist[vertex] + 1
if indegree[x] == 0:
queue.append(x)
print(max(longDist))
# Adjacency list of Graph
l = {0: [2, 3, 4], 1: [2, 7], 2: [5], 3: [5, 7], 4: [7], 5: [6], 6: [7], 7: []}
longestDistance(l)