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46 changes: 46 additions & 0 deletions graphs/dijkstra_2.py
Original file line number Diff line number Diff line change
@@ -1,4 +1,20 @@
def print_dist(dist, v):
"""
Print vertex distances.

Parameters:
dist (list): A list of distances.
v (int): The number of vertices.

Example:
>>> print_dist([0.0, 2.0, 3.0, float('inf')], 4)
Vertex Distance
0 0
1 2
2 3
3 INF
"""

print("\nVertex Distance")
for i in range(v):
if dist[i] != float("inf"):
Expand All @@ -9,6 +25,18 @@ def print_dist(dist, v):


def min_dist(mdist, vset, v):
"""
Find the vertex with the minimum distance.

Parameters:
mdist (list): A list of distances.
vset (list): A list of boolean values indicating visited vertices.
v (int): The number of vertices.

Example:
>>> min_dist([0.0, 2.0, 3.0, float('inf')], [False, True, False, False], 4)
0
"""
min_val = float("inf")
min_ind = -1
for i in range(v):
Expand All @@ -19,6 +47,24 @@ def min_dist(mdist, vset, v):


def dijkstra(graph, v, src):
"""
Implement Dijkstra's algorithm to find the shortest path.

Parameters:
graph (list): The graph represented as an adjacency matrix.
v (int): The number of vertices.
src (int): The source vertex.

Example:
>>> graph = [[0.0, 2.0, float('inf'), 1.0], [2.0, 0.0, 4.0, float('inf')], [float('inf'), 4.0, 0.0, 3.0], [1.0, float('inf'), 3.0, 0.0]]
>>> dijkstra(graph, 4, 0)
Vertex Distance
0 0
1 2
2 3
3 1
"""

mdist = [float("inf") for _ in range(v)]
vset = [False for _ in range(v)]
mdist[src] = 0.0
Expand Down