This slideshow introduces and explains the "Hamiltonian Cycle" Problem.
We start with some definitions and background.
Hamiltonian Cycle is a graph cycle in an undirected or adirected graph that passes through each vertex exactly once.
For example - The edges marked in red in the graph below forms a Hamiltonian Cycle.
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Given a graph G=(V,E), does the graph contain a Hamiltonian Cycle?
Does the graph below contain a Hamiltonian Cycle?
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Yes
Does the graph below contain a Hamiltonian Cycle?
No