👉 Graph engineering is a specialized field within graph theory and network science that focuses on the design, construction, and optimization of complex networks to meet specific functional or performance requirements. It involves creating and modifying graph structures—comprising nodes (vertices) and edges—to model real-world systems such as social networks, transportation systems, communication networks, and biological interactions. Engineers use mathematical algorithms and computational tools to analyze, predict, and enhance network properties like connectivity, robustness, efficiency, and scalability. By tailoring graph topologies (e.g., adding/removing edges, adjusting node degrees, or introducing hierarchical layers), graph engineers can optimize networks for tasks ranging from data routing and resource allocation to disease spread modeling and infrastructure resilience, ensuring systems perform optimally under various conditions. This approach bridges theoretical graph theory with practical applications, enabling innovation in fields like AI, logistics, and cybersecurity.