Dirac's theorem

Dirac's theorem states that in a large enough network (specifically, a simple graph with n vertices where n is at least 3), if every node (vertex) is connected to at least half of the other nodes, then the entire network contains a cycle that passes through every node exactly once—called a Hamiltonian cycle. In essence, strong local connectivity ensures a path that visits every point exactly once, highlighting how high individual connectivity leads to robust, complete traversal routes within the network.