Graph Database Query Builder

Build a graph database query for this requirement:

**Graph Model:**
{{GRAPH_MODEL}}

**Node Types and Properties:**
{{NODE_TYPES}}

**Relationship Types:**
{{RELATIONSHIP_TYPES}}

**Query Requirement:** {{REQUIREMENT}}
**Graph Database:** {{GRAPH_DATABASE}}

Please provide:
1. Complete query (Cypher for Neo4j, Gremlin, etc.)
2. Query explanation
3. Pattern matching breakdown
4. Index recommendations
5. Performance optimization tips
6. Parameterized query version
7. Alternative query approaches
8. Sample results visualization description
9. Common graph algorithm applications