Agent skill

combinatorial-enumeration

Combinatorial object generation and counting

Stars 514
Forks 31

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

  1. Object Definition: Precisely define combinatorial objects
  2. Generation Strategy: Choose efficient generation methods
  3. Counting: Use generating functions for counting
  4. OEIS Lookup: Search for known sequences

Tools/Libraries

  • OEIS
  • SageMath combinat
  • SymPy combinatorics

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