"Hamiltonian Circuits in Graph Theory: Balancing Efficiency and Complexity
Graph theory's cornerstone, Hamiltonian circuits, have significant implications in logistics, supply chain optimization, genome sequencing, and more. These closed loops visit every vertex exactly once, minimizing redundant paths and resources. However, computational complexity and real-world constraints often hinder implementation. Heuristic methods like genetic algorithms or ant colony optimization help find near-optimal solutions. With applications in Google Maps and Amazon's logistics network, Hamiltonian circuits exemplify mathematical concepts solving real-world challenges."

Source: https://dev.to/pradeep_ragunanthan/blog-structure-exploring-hamiltonian-circuits-in-graph-theory-19m8