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Python implementation of Dijkstra's algorithm, single source all desinations and single source single destination
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from collections import defaultdict | |
def build_graph(edge_list): | |
graph = defaultdict(list) | |
seen_edges = defaultdict(int) | |
for src, dst, weight in edge_list: | |
seen_edges[(src, dst, weight)] += 1 | |
if seen_edges[(src, dst, weight)] > 1: # checking for duplicated edge entries | |
continue | |
graph[src].append((dst, weight)) | |
graph[dst].append((src, weight)) # remove this line of edge list is directed | |
return graph | |
def dijkstra(graph, src, dst=None): | |
nodes = [] | |
for n in graph: | |
nodes.append(n) | |
nodes += [x[0] for x in graph[n]] | |
q = set(nodes) | |
nodes = list(q) | |
dist = dict() | |
prev = dict() | |
for n in nodes: | |
dist[n] = float('inf') | |
prev[n] = None | |
dist[src] = 0 | |
while q: | |
u = min(q, key=dist.get) | |
q.remove(u) | |
if dst is not None and u == dst: | |
return dist[dst], prev | |
for v, w in graph.get(u, ()): | |
alt = dist[u] + w | |
if alt < dist[v]: | |
dist[v] = alt | |
prev[v] = u | |
return dist, prev | |
def find_path(pr, node): # generate path list based on parent points 'prev' | |
p = [] | |
while node is not None: | |
p.append(node) | |
node = pr[node] | |
return p[::-1] | |
if __name__ == "__main__": | |
edges = [ | |
("A", "B", 7), | |
("A", "D", 5), | |
("B", "C", 8), | |
("B", "D", 9), | |
("B", "E", 7), | |
("C", "E", 5), | |
("D", "E", 15), | |
("D", "F", 6), | |
("E", "F", 8), | |
("E", "G", 9), | |
("F", "G", 11) | |
] | |
g = build_graph(edges) | |
print("=== Dijkstra ===") | |
print("--- Single source, single destination ---") | |
d, prev = dijkstra(g, "A", "E") | |
path = find_path(prev, "E") | |
print("A -> E: distance = {}, path = {}".format(d, path)) | |
d, prev = dijkstra(g, "F", "G") | |
path = find_path(prev, "G") | |
print("F -> G: distance = {}, path = {}".format(d, path)) | |
print("--- Single source, all destinations ---") | |
ds, prev = dijkstra(g, "A") | |
for k in ds: | |
path = find_path(prev, k) | |
print("A -> {}: distance = {}, path = {}".format(k, ds[k], path)) |
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thank you so much