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1. For the above weighted graph, use the Brute Force Algorithm to find an optima

ID: 2902515 • Letter: 1

Question

1. For the above weighted graph, use the Brute Force Algorithm to find an optimal Hamilton Circuit stating at Vertex C.

2. You work at UPS and the company has decided to add a new truck route that will cover 9 cities in Japan. Assume each city is connected to each city. You want to design the route in the most efficient way so that the truck will never have to visit a city more than once, except for Tokyo (where the headquarters is located.) Your boss wants the optimal route. Which algorithm should you use to answer your boss's question?

Explanation / Answer

2. Hamiltonian Cycle

Hamiltonian Path in an undirected graph is a path that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a Hamiltonian Path such that there is an edge (in graph) from the last vertex to the first vertex of the Hamiltonian Path.

no graph in the question to solve Q.1