How can I implement Dijkstra's algorithm in Python?
You can implement Dijkstra's algorithm using a priority queue. Would you like to see a code example?
Yes, please provide a code example.
Here's a simple implementation:
import heapq
class Graph:
def __init__(self):
self.edges = {}
def add_edge(self, from_node, to_node, weight):
if from_node not in self.edges:
self.edges[from_node] = []
self.edges[from_node].append((to_node, weight))
def dijkstra(self, start):
queue = [(0, start)]
distances = {start: 0}
while queue:
current_distance, current_node = heapq.heappop(queue)
if current_distance > distances.get(current_node, float('inf')):
continue
for neighbor, weight in self.edges.get(current_node, []):
distance = current_distance + weight
if distance < distances.get(neighbor, float('inf')):
distances[neighbor] = distance
heapq.heappush(queue, (distance, neighbor))
return distances
What are the key components of this implementation?
The key components are the graph representation, the priority queue for selecting the next node, and the distance tracking for each node.
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