Web Reference: We have already discussed the travelling salesperson problem using the greedy and dynamic programming approaches, and it is established that solving the travelling salesperson problems for the perfect optimal solutions is not possible in polynomial time. Jul 23, 2025 · When the cost function satisfies the triangle inequality, we can design an approximate algorithm for TSP that returns a tour whose cost is never more than twice the cost of an optimal tour. A(I) ≤ α(n) · OPT(I) for all instances I of TSP. We will show that A can be used to decide whether a graph contains a Hamiltonian cycle (which is NP-hard), implying P = NP.
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Tsp 2 Approximation Algorithm Net Worth 2026: Salary, Income & Wealth Net Worth & Biography

Estimated Worth: $41M - $46M
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Last Updated: April 8, 2026
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