Agent skill
combinatorial-enumeration
Combinatorial object generation and counting
Install this agent skill to your Project
npx add-skill https://github.com/a5c-ai/babysitter/tree/main/library/specializations/domains/science/mathematics/skills/combinatorial-enumeration
Metadata
Additional technical details for this skill
- phase
- 6
- domain
- science
- category
- combinatorics
- specialization
- mathematics
SKILL.md
Combinatorial Enumeration
Purpose
Provides combinatorial object generation and counting capabilities for discrete mathematics.
Capabilities
- Permutation and combination generation
- Partition enumeration
- Generating function computation
- OEIS sequence lookup
- Polya enumeration
- Species theory computations
Usage Guidelines
- Object Definition: Precisely define combinatorial objects
- Generation Strategy: Choose efficient generation methods
- Counting: Use generating functions for counting
- OEIS Lookup: Search for known sequences
Tools/Libraries
- OEIS
- SageMath combinat
- SymPy combinatorics
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