ReddRadar
Agent skill
approximation-ratio-calculator
Analyze and prove approximation ratios for optimization algorithms
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/computer-science/skills/approximation-ratio-calculator
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- complexity-theory
- specialization
- computer-science
SKILL.md
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
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