approximation-ratio-calculator
Analyze and prove approximation ratios for optimization algorithms
Best use case
approximation-ratio-calculator is best used when you need a repeatable AI agent workflow instead of a one-off prompt.
Analyze and prove approximation ratios for optimization algorithms
Teams using approximation-ratio-calculator should expect a more consistent output, faster repeated execution, less prompt rewriting.
When to use this skill
- You want a reusable workflow that can be run more than once with consistent structure.
When not to use this skill
- You only need a quick one-off answer and do not need a reusable workflow.
- You cannot install or maintain the underlying files, dependencies, or repository context.
Installation
Claude Code / Cursor / Codex
Manual Installation
- Download SKILL.md from GitHub
- Place it in
.claude/skills/approximation-ratio-calculator/SKILL.mdinside your project - Restart your AI agent — it will auto-discover the skill
How approximation-ratio-calculator Compares
| Feature / Agent | approximation-ratio-calculator | Standard Approach |
|---|---|---|
| Platform Support | Not specified | Limited / Varies |
| Context Awareness | High | Baseline |
| Installation Complexity | Unknown | N/A |
Frequently Asked Questions
What does this skill do?
Analyze and prove approximation ratios for optimization algorithms
Where can I find the source code?
You can find the source code on GitHub using the link provided at the top of the page.
SKILL.md Source
# 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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