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Approximation Algorithms

Field: Analysis of Algorithms

Algorithms used to find approximate solutions to optimization problems.

Sequence of Expressions

Definition

Approximation Ratio Definition

Theorem

Greedy Algorithm Approximation Ratio Bound

Theorem

Papadimitriou's Approximation Algorithm

Theorem

Polynomial-Time Approximation Scheme (PTAS)

Theorem

Linear Programming Relaxation

Theorem

Rounding Algorithms

Theorem

First-Fit Decreasing Algorithm

Theorem

Logarithmic Approximation Factor

Theorem

Voracious Algorithm

Theorem

Conjecture: Strong PTAS Existence