LangGraph Stateful Multi-Agent Orchestration

LangGraph provides categorical graph-based orchestration for stateful multi-agent AI systems.

Installation

pip install langgraph langchain-openai

Core Categorical Concepts

LangGraph maps to category theory:

• StateGraph: Category with states as objects
• Nodes: Morphisms State → State
• Edges: Composition of morphisms
• Conditional Edges: Coproduct (sum type) routing
• Cycles: Fixed-point iteration