Variations
Charging arguments can also be used to show approximation results. In particular, it can be used to show that an algorithm is an n-approximation to an optimization problem. Instead of showing that an algorithm produces outputs with the same value of profit or cost as the optimal solution, show that it attains that value within a factor of n. Rather than proving the existence of a one-to-one function, the charging argument focuses on proving that an n-to-one function exists in order to prove approximation results.
Read more about this topic: Charging Argument
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