---
name: graph-based-ui-decomposition
description: Apply graph theory to decompose large UIs into optimal rendering subgraphs.
---

# Graph-Based UI Decomposition (React 18)

## Summary

Apply graph theory to decompose large UIs into optimal rendering subgraphs.

## Key Capabilities

- Model component dependencies as directed acyclic graphs.
- Identify cut vertices for resilient boundary placement.
- Compute modular partitions that minimize re-render propagation.

## PhD-Level Challenges

- Prove optimal boundary placement under cost constraints.
- Evaluate partition stability under frequent feature churn.
- Compare spectral vs heuristic partitioning for UI graphs.

## Acceptance Criteria

- Deliver a dependency graph and partition report.
- Demonstrate measurable render isolation improvements.
- Document the algorithm used for partitioning.