# Network Topology Patterns
## Hyphal-Inspired Topologies
### 1. Exploration Mesh
Initial topology with active tips exploring space:
```
T1 T2
\ /
\ /
\ /
\/
[ROOT]
/\
/ \
/ \
T3 T4
```
**Characteristics:**
- All nodes are active exploration tips
- Low connectivity, high exploration
- Best for initial discovery phase
### 2. Anastomosis Ring
Tips that have fused form ring structures:
```
N1 ---- N2
/ \ / \
/ \ / \
N6 [HUB] N3
\ / \ /
\ / \ /
N5 ---- N4
```
**Characteristics:**
- Fused tips create redundant paths
- Medium connectivity, fault-tolerant
- Self-healing through alternative routes
### 3. Transport Tree
Optimized for nutrient/message transport:
```
[ROOT]
/ | \
/ | \
N1 N2 N3
/ \ | / \
L1 L2 L3 L4 L5
```
**Characteristics:**
- Hierarchical structure
- Low redundancy, high efficiency
- Best for bulk transport
### 4. Hybrid Network
Combines multiple topologies:
```
[HUB1] ===== [HUB2]
/|\ /|\
/ | \ / | \
T1 T2 T3 T4 T5 T6
| |
[RING1] [RING2]
```
**Characteristics:**
- Hubs connected with high-capacity links
- Explorer tips at the periphery
- Ring structures for local resilience
## Topology Properties
| Mesh | High | Low | Medium | Exploration |
| Ring | Medium | Medium | Medium | Fault tolerance |
| Tree | Low | Low | High | Transport |
| Hybrid | High | Low | High | Production |
## Adaptive Transitions
Networks evolve based on resource patterns:
### Phase 1: Exploration
```
State: Many active tips, low connectivity
Goal: Discover resource locations
Topology: Exploration Mesh
```
### Phase 2: Consolidation
```
State: Tips finding resources
Goal: Connect high-value nodes
Topology: Anastomosis, ring formation
```
### Phase 3: Optimization
```
State: Resources mapped
Goal: Efficient transport
Topology: Tree structure
```
### Phase 4: Resilience
```
State: Stable network
Goal: Fault tolerance
Topology: Hybrid with redundant paths
```
## Implementation
### Topology Metrics
```rust
pub struct TopologyMetrics {
pub node_count: usize,
pub edge_count: usize,
pub active_tip_count: usize,
pub avg_capacity: f64,
pub density: f64,
}
```
### Key Operations
1. **add_tip(id)**: Add exploration node
2. **connect(a, b, capacity)**: Create edge
3. **fuse_tips(a, b)**: Anastomosis
4. **shortest_path(from, to)**: Dijkstra routing
5. **prune(threshold)**: Remove low-capacity edges
### Topology Evolution Algorithm
```rust
fn evolve_topology(topo: &mut Topology, gradient: &ResourceGradient) {
// 1. Extend tips toward gradient
for tip in topo.active_tips() {
if gradient.intensity(tip) > EXTEND_THRESHOLD {
topo.extend(tip, gradient.direction(tip));
}
}
// 2. Branch high-potential tips
for tip in topo.active_tips() {
if topo.potential(tip) > BRANCH_THRESHOLD {
topo.branch(tip);
}
}
// 3. Fuse nearby tips (anastomosis)
for (a, b) in topo.nearby_pairs(FUSION_DISTANCE) {
topo.fuse(a, b);
}
// 4. Prune low-value edges
topo.prune(PRUNE_THRESHOLD);
}
```
## Swarm Integration
### Agent Roles from Topology
| Active Tip | Explorer | Discover new resources |
| Junction (3+) | Hub | Route messages, coordinate |
| Segment Node | Transport | Forward messages |
| Isolated | Dormant | Wait for connections |
### Message Routing
Messages follow shortest path through topology:
```rust
fn route_message(swarm: &HyphalSwarm, from: NodeId, to: NodeId, msg: &[u8]) {
if let Some(path) = swarm.topology.shortest_path(from, to) {
for hop in path.windows(2) {
let edge = swarm.topology.edge(hop[0], hop[1]);
if msg.len() <= edge.capacity {
// Forward to next hop
}
}
}
}
```
## Performance Considerations
### Scaling
- **Node count**: O(n) memory
- **Edge count**: O(e) memory, typically O(n) for sparse hyphal networks
- **Shortest path**: O((n + e) log n) with Dijkstra
- **Fusion check**: O(n^2) naive, O(n log n) with spatial indexing
### Optimization Strategies
1. **Spatial hashing**: Fast fusion candidate detection
2. **Path caching**: Cache frequently used routes
3. **Lazy pruning**: Batch low-capacity edge removal
4. **Parallel exploration**: Tips grow independently
## Related Documentation
- [HYPHAL-NETWORK-PATTERNS.md](./HYPHAL-NETWORK-PATTERNS.md) - Core patterns
- [ENR-ARCHITECTURE.md](./ENR-ARCHITECTURE.md) - Exploration & Resource architecture
- [HyphalNetwork.md](./HyphalNetwork.md) - Detailed network design