Define Travelling Salesman Problem at Traveling

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Define Travelling Salesman Problem. In this context, tours are sometimes called hamiltonian circuits. We can say that salesman wishes to make a tour or hamiltonian cycle, visiting each city exactly once and finishing at the city he starts from.

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What is the travelling salesman problem ? Travelling salesman problem is based on a real life scenario, where a salesman from a company has to start from his own city and visit all the assigned cities exactly once and return to his home till the end of the day. The traveling salesman problem (tsp) is believed to be an intractable problem and have no practically efficient algorithm to solve it.

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How is this problem modeled as a graph problem? The problem is to find a path that visits each city once, returns to the starting city, and minimizes the distance traveled. We can say that salesman wishes to make a tour or hamiltonian cycle, visiting each city exactly once and finishing at the city he starts from. Detailed discussion about the work of hamilton & kirkman can be seen from the book titled graph theory (biggs et al.