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An approximation bound is a guaranteed multiplicative limit on how much worse the algorithm's result can be than the true optimum in the worst case.

Conditions: Used for minimization or maximization problems.; Expresses a worst-case guarantee relative to the optimum.

An approximation bound is a guaranteed multiplicative limit on how much worse the algorithm's result can be than the true optimum in the worst case.

Conditions: Used for minimization or maximization problems.; Expresses a worst-case guarantee relative to the optimum.

An approximation algorithm is a polynomial-time algorithm designed to find near-optimal solutions for NP-hard optimization problems. It trades absolute perfection for mathematical guarantees, ensuring provable efficiency.

Conditions: Applies to NP-hard optimization problems; Runs in polynomial time

An approximation algorithm is a polynomial-time algorithm designed to find near-optimal solutions for NP-hard optimization problems. It trades absolute perfection for mathematical guarantees, ensuring provable efficiency.

Conditions: Applies to NP-hard optimization problems; Runs in polynomial time