A Hamiltonian path in a network is a closed path thatpasses exactly once through each node in the network before returning to its starting point. Taking a four-city TSP as anexample, explain why solving a TSP is equivalent to findingthe shortest Hamiltonian path in a network.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A Hamiltonian path in a network is a closed path that
passes exactly once through each node in the network before
returning to its starting point. Taking a four-city TSP as an
example, explain why solving a TSP is equivalent to finding
the shortest Hamiltonian path in a network.
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