approximation-ratio-calculator
// Analyze and prove approximation ratios for optimization algorithms
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updated:March 4, 2026
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SKILL.md Frontmatter
nameapproximation-ratio-calculator
descriptionAnalyze and prove approximation ratios for optimization algorithms
allowed-toolsBash,Read,Write,Edit,Glob,Grep
metadata[object Object]
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
- Problem Setup: Formalize the optimization problem
- LP Relaxation: Construct and analyze LP relaxation
- Rounding Design: Design rounding scheme
- Ratio Proof: Prove approximation ratio
- Gap Analysis: Analyze integrality gap
Tools/Libraries
- LP/ILP solvers
- Symbolic computation
- Proof assistants