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Python implementation of Dijkstra's Algorithm
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class Graph: | |
def __init__(self): | |
self.nodes = set() | |
self.edges = defaultdict(list) | |
self.distances = {} | |
def add_node(self, value): | |
self.nodes.add(value) | |
def add_edge(self, from_node, to_node, distance): | |
self.edges[from_node].append(to_node) | |
self.edges[to_node].append(from_node) | |
self.distances[(from_node, to_node)] = distance | |
def dijsktra(graph, initial): | |
visited = {initial: 0} | |
path = {} | |
nodes = set(graph.nodes) | |
while nodes: | |
min_node = None | |
for node in nodes: | |
if node in visited: | |
if min_node is None: | |
min_node = node | |
elif visited[node] < visited[min_node]: | |
min_node = node | |
if min_node is None: | |
break | |
nodes.remove(min_node) | |
current_weight = visited[min_node] | |
for edge in graph.edges[min_node]: | |
weight = current_weight + graph.distance[(min_node, edge)] | |
if edge not in visited or weight < visited[edge]: | |
visited[edge] = weight | |
path[edge] = min_node | |
return visited, path |
I am not able to understand what to pass in the second argument (initial) for dijsktra function. Can anyone please help me?
it is the starting node which has no parent that's why 0
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I think it's possible B to A is not the same as A to B. (For example, in a representation of a road network, a 1-way road). I think the user is responsible for adding B to A with the same distance in the usage of add_edge().
You can implement validation/setting that B to A is == A to B, but it would restrict your implementation to solely equidistant and single edge graphs. Would you agree?