role-algorithms:computational-complexity
CommunityClassify problem hardness and design algorithms.
Software Engineering#algorithm design#computational complexity#np-complete#approximation algorithms#parameterized complexity#reduction
Authorrnavarych
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This Skill helps in understanding and classifying the inherent difficulty of computational problems, guiding the choice between exact, approximation, or heuristic algorithmic approaches.
Core Features & Use Cases
- Complexity Classification: Determine if a problem is in P, NP-complete, or NP-hard.
- Reduction Proofs: Assist in proving a problem's NP-completeness by constructing polynomial-time reductions.
- Algorithm Selection: Guide the selection of appropriate algorithms, including approximation schemes (PTAS, FPTAS), parameterized algorithms (FPT), and randomized or heuristic methods.
- Use Case: Before embarking on a complex implementation, use this Skill to classify a new optimization problem as NP-hard, then leverage its guidance to select an FPTAS for a provable approximation guarantee.
Quick Start
Use the role-algorithms:computational-complexity skill to classify the hardness of the traveling salesman problem.
Dependency Matrix
Required Modules
None requiredComponents
references
💻 Claude Code Installation
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Please help me install this Skill: Name: role-algorithms:computational-complexity Download link: https://github.com/rnavarych/alpha-engineer/archive/main.zip#role-algorithms-computational-complexity Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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