给出的图G赋权连接矩阵为：

adjacency_matrix

= [ [0, 1, 10, -1, -1, 2],

[10, 0, 1, -1, -1, -1],

[1, 10, 0, -1, -1, -1],

[-1, -1, 2, 0, 1, 10],

[-1, -1, -1, 10, 0, 1],

[-1, -1, -1, 1, 10, 0]]

import sys

max = sys.maxsize

vertices_number = 6

adjacency_matrix = [

[0, 1, 10, -1, -1, 2],

[10, 0, 1, -1, -1, -1],

[1, 10, 0, -1, -1, -1],

[-1, -1, 2, 0, 1, 10],

[-1, -1, -1, 10, 0, 1],

[-1, -1, -1, 1, 10, 0]]

start = []

dest = ["2", "5"]

key = []

def init_keys(s: int):

global key

key = [ max ] * vertices_number

key[s] = 0

def dijkstra(from_vertex, dest_vertex):

fid = int(from_vertex) - 1

tid = int(dest_vertex) - 1

init_keys(fid)

rel = [fid]

min_vertex = fid

hop_path = {}

while len(rel) <= vertices_number and min_vertex != tid:

for i in range(vertices_number):

if i != min_vertex and i not in rel and \

adjacency_matrix[min_vertex][i] > 0 \

and key[i] > adjacency_matrix[min_vertex][i]:

key[i] = key[min_vertex] + adjacency_matrix[min_vertex][i]

hop_path.update({i + 1: {"from": min_vertex + 1, "cost": adjacency_matrix[min_vertex][i]}})

if min_vertex not in rel:

rel.append(min_vertex)

min_vertex = tid

for i in range(vertices_number):

if i not in rel and key[i] < key[min_vertex]:

min_vertex = i

if len(hop_path) == 0 or int(dest_vertex) not in hop_path:

return -1, -1

else:

next_hop = int(dest_vertex)

path_str = dest_vertex

while hop_path[next_hop]["from"] != int(from_vertex):

cost = hop_path[next_hop]["cost"]

next_hop = hop_path[next_hop]["from"]

path_str = "{} -({})-> {}".format(str(next_hop), cost ,path_str)

path_str = "{} -({})-> {}".format(str(hop_path[next_hop]["from"]), hop_path[next_hop]["cost"], path_str)

return key[tid], path_str

def find_shortest_router():

for s in start:

print("Forwarding Table for {}".format(s))

print("{:>10} {:>10} {}".format("To", "Cost", "Path"))

for d in dest:

c, n = dijkstra(s, d)

print("{:>10} {:>10} {}".format(d, c, n))

def main():

for i in range(1, vertices_number + 1):

if str(i) not in dest:

start.append(str(i))

find_shortest_router()

if __name__ == '__main__':

main()

执行结果：

捕获.JPG