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approximation-ratio-calculator

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Analyze and prove approximation ratios for optimization algorithms

General

What this skill does


# Approximation Ratio Calculator

## Purpose

Provides expert guidance on analyzing approximation algorithms and proving approximation guarantees.

## Capabilities

- LP relaxation analysis
- Integrality gap computation
- Randomized rounding analysis
- Approximation factor derivation
- PTAS/FPTAS feasibility assessment
- Inapproximability results analysis

## Usage Guidelines

1. **Problem Setup**: Formalize the optimization problem
2. **LP Relaxation**: Construct and analyze LP relaxation
3. **Rounding Design**: Design rounding scheme
4. **Ratio Proof**: Prove approximation ratio
5. **Gap Analysis**: Analyze integrality gap

## Tools/Libraries

- LP/ILP solvers
- Symbolic computation
- Proof assistants

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