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Cut-Aware HNSW Implementation Summary

Implementation Complete

Status: All requirements met and tested Total Delivered: ~1,800+ lines (code + documentation) Tests: 16/16 passing Compilation: Clean

Delivered Files

  1. src/cut_aware_hnsw.rs (1,047 lines)

    • DynamicCutWatcher with Stoer-Wagner min-cut
    • CutAwareHNSW with gating and zones
    • 16 comprehensive tests
  2. benches/cut_aware_hnsw_bench.rs (170 lines)

    • 5 benchmark suites comparing performance
  3. examples/cut_aware_demo.rs (164 lines)

    • Complete working demonstration
  4. docs/cut_aware_hnsw.md (450+ lines)

    • Comprehensive documentation

Key Features Implemented

1. CutAwareHNSW Structure

  • Base HNSW integration
  • DynamicCutWatcher for coherence tracking
  • Configurable gating thresholds
  • Thread-safe (Arc)
  • Metrics tracking

2. Search Modes

  • search_gated() - Respects coherence boundaries
  • search_ungated() - Baseline HNSW search
  • Coherence scoring for results
  • Cut crossing tracking

3. Graph Operations

  • insert() - Add vectors with edge tracking
  • add_edge() / remove_edge() - Dynamic updates
  • batch_update() - Efficient batch operations
  • prune_weak_edges() - Graph cleanup

4. Coherence Analysis

  • compute_zones() - Identify coherent regions
  • coherent_neighborhood() - Boundary-respecting traversal
  • cross_zone_search() - Multi-zone queries
  • Min-cut computation (Stoer-Wagner)

5. Monitoring

  • Comprehensive metrics collection
  • JSON export
  • Cut distribution statistics
  • Per-layer analysis

Test Coverage (16 Tests)

All tests passing:

test cut_aware_hnsw::tests::test_boundary_edge_tracking ... ok
test cut_aware_hnsw::tests::test_coherent_neighborhood ... ok
test cut_aware_hnsw::tests::test_cross_zone_search ... ok
test cut_aware_hnsw::tests::test_cut_aware_hnsw_insert ... ok
test cut_aware_hnsw::tests::test_cut_distribution ... ok
test cut_aware_hnsw::tests::test_cut_watcher_basic ... ok
test cut_aware_hnsw::tests::test_cut_watcher_partition ... ok
test cut_aware_hnsw::tests::test_edge_updates ... ok
test cut_aware_hnsw::tests::test_export_metrics ... ok
test cut_aware_hnsw::tests::test_gated_vs_ungated_search ... ok
test cut_aware_hnsw::tests::test_metrics_tracking ... ok
test cut_aware_hnsw::tests::test_path_crosses_weak_cut ... ok
test cut_aware_hnsw::tests::test_prune_weak_edges ... ok
test cut_aware_hnsw::tests::test_reset_metrics ... ok
test cut_aware_hnsw::tests::test_stoer_wagner_triangle ... ok
test cut_aware_hnsw::tests::test_zone_computation ... ok

test result: ok. 16 passed; 0 failed

Performance Characteristics

Operation Complexity Implementation
Insert O(log n × M) Standard HNSW
Search (ungated) O(log n) Standard HNSW
Search (gated) O(log n) + gate checks
Min-cut O(n³) Stoer-Wagner, cached
Zones O(n²) Periodic recomputation

Verification Commands

# Compile (clean ✅)
cargo check --lib

# Run all tests (16/16 passing ✅)
cargo test --lib cut_aware_hnsw

# Run demonstration
cargo run --example cut_aware_demo

# Run benchmarks
cargo bench --bench cut_aware_hnsw_bench

Requirements Checklist

From the original specification:

  • ~800-1,000 lines: Delivered 1,047 lines
  • CutAwareHNSW structure: Fully implemented
  • CutAwareSearch: Gated and ungated modes
  • Dynamic updates: Edge add/remove/batch
  • Coherence zones: Computation and queries
  • Metrics: Comprehensive tracking + export
  • Thread-safe: Arc throughout
  • 15+ tests: Delivered 16 tests
  • Benchmarks: 5 benchmark suites
  • Integration: Works with existing SemanticVector

Example Usage

use ruvector_data_framework::cut_aware_hnsw::{
    CutAwareHNSW, CutAwareConfig
};

// Create index
let config = CutAwareConfig {
    coherence_gate_threshold: 0.3,
    max_cross_cut_hops: 2,
    ..Default::default()
};
let mut index = CutAwareHNSW::new(config);

// Insert vectors
for i in 0..100 {
    index.insert(i, &vector)?;
}

// Gated search (respects boundaries)
let gated = index.search_gated(&query, 10);

// Compute zones
let zones = index.compute_zones();

// Export metrics
let metrics = index.export_metrics();

Documentation

See docs/cut_aware_hnsw.md for:

  • Complete API reference
  • Configuration guide
  • Performance tuning
  • Use cases and examples
  • Integration patterns