Tripartite Problem Decompositions

소개

Tripartite Decompositions is a specialized skill for Claude Code that implements GF(3)-balanced structured decompositions for advanced parallel computation. By breaking down tasks into MINUS, ERGODIC, and PLUS components that sum to zero (mod 3), it enables highly efficient problem solving through Fixed-Parameter Tractable (FPT) algorithms. This skill is essential for users working with topological computing, category theory-based software design, and complex agent orchestration where maintaining compositional coherence and balancing parallel workloads is critical.

주요 기능

• GF(3) balanced decomposition (MINUS, ERGODIC, PLUS)
• Shannon entropy calculation for trit distribution balancing
• Deterministic color and polarity mapping for multi-agent systems
• Sheaf-theoretic gluing via adhesion spans and pullbacks
• Support for Fixed-Parameter Tractable (FPT) algorithms
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사용 사례

• Allocating specialized skills across AI agent triads to ensure system equilibrium.
• Optimizing graph-based problems like 3-coloring using treewidth-aware decompositions.
• Parallelizing high-dimensional computational workloads into balanced three-way streams.