A graph has following nodes: Fullerton, LA, Irvine, San Diego, San Francisco Which of these is a valid Hamiltonian path Fullerton->LA->Irvine->San Francisco-> San Diego -> Irvine LA->Fullerton->Irvine->San Diego->San Francisco->LA Fullerton->LA->Irvine->San Diego-> San Francisco ->LA LA->Fullerton->Irvine->San Diego->San Francisco
A Hamiltonian path is a concept in graph theory that represents a path in a graph that visits each node (vertex) exactly once. When we encounter a set of nodes and various paths between them, determining a valid Hamiltonian path becomes a puzzle that involves traversing a graph while adhering to certain rules. In the context of the nodes "Fullerton," "LA," "Irvine," "San Diego," and "San Francisco," embark on a journey to discover which sequence constitutes a valid Hamiltonian path. Each step is scrutinized to ensure that no city is revisited and that all cities are visited precisely once. It is a quest for a path that connects these nodes seamlessly, highlighting the essence of Hamiltonian paths in graph theory.
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