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Approximation ratio calculator

Skill a5c-ai/babysitter/library/specializations/domains/science/computer-science/skills/approximation-ratio-calculator

Analyze and prove approximation ratios for optimization algorithmsFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill approximation-ratio-calculator

Assembled from the repository path, not quoted from the project. Check it against their README if it does not work.

SKILL.md

1.3 KB, 151 tokens by cl100k_base, as published. Nobody here has run it

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

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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