Implement an approximation algorithm for the Traveling Salesman problem, which outputs a solution which is a 2-approximation of the optimal weight 1 import networkx as nx # This function takes as input a graph g. # The graph is complete (i.e., each pair of distinct vertices is connected by an edge), # undirected (i.e., the edge from u to v has the same weight as the edge from v to u), # and has no self-loops (i.e., there are no edges from i to i). 4 5 6 7 %23 8 # The function should return a 2-approximation of an optimal Hamiltonian cycle. 9 10 def approximation(g): 11 # n is the number of vertices. 12 n = g.number_of_nodes() 13 # You might want to use the function "nx.minimum_spanning_tree(g)" # which returns a Minimum Spanning Tree of the graph g 14 15 16 # You also might want to use the command "list(nx.dfs_preorder_nodes (graph, 0))" # which gives a list of vertices of the given graph in depth-first preorder. 17 18 19 20 return ???

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Implement an approximation algorithm for the Traveling Salesman problem, which outputs a solution which is a 2-approximation of the optimal weight
1
import networkx as nx
# This function takes as input
graph g.
4
# The graph is complete (i.e., each pair of distinct vertices is connected by an edge),
# undirected (i.e., the edge from u to v has the same weight as the edge from v to u),
# and has no self-loops (i.e., there are no edges from i to i).
7
#3
8.
# The function should return a 2-approximation of an optimal Hamiltonian cycle.
9.
def approximation(g):
# n is the number of vertices.
10
11
12
n = g.number_of_nodes()
13
14
# You might want to use the function "nx.minimum_spanning_tree(g)"
15
# which returns a Minimum Spanning Tree of the graph g
16
# You also might want to use the command "list(nx.dfs_preorder_nodes(graph, 0))"
# which gives a list of vertices of the given graph in depth-first preorder.
17
18
19
20
return ???
Transcribed Image Text:Implement an approximation algorithm for the Traveling Salesman problem, which outputs a solution which is a 2-approximation of the optimal weight 1 import networkx as nx # This function takes as input graph g. 4 # The graph is complete (i.e., each pair of distinct vertices is connected by an edge), # undirected (i.e., the edge from u to v has the same weight as the edge from v to u), # and has no self-loops (i.e., there are no edges from i to i). 7 #3 8. # The function should return a 2-approximation of an optimal Hamiltonian cycle. 9. def approximation(g): # n is the number of vertices. 10 11 12 n = g.number_of_nodes() 13 14 # You might want to use the function "nx.minimum_spanning_tree(g)" 15 # which returns a Minimum Spanning Tree of the graph g 16 # You also might want to use the command "list(nx.dfs_preorder_nodes(graph, 0))" # which gives a list of vertices of the given graph in depth-first preorder. 17 18 19 20 return ???
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