A Hamiltonian graph is a type of graph that contains a Hamiltonian cycle, which is a cycle that visits each vertex exactly once and returns to the starting vertex. Understanding Hamiltonian graphs is important because they connect to various applications, such as optimization problems and routing scenarios. These graphs are central in determining feasible paths in networks, and they are often studied alongside Eulerian graphs to compare their unique properties and necessary conditions.
congrats on reading the definition of Hamiltonian Graph. now let's actually learn it.