Which of the following correctly describes a Hamiltonian cycle?
A cycle that passes through every vertex and every edge exactly once.
A path that visits every vertex exactly once.
A cycle that passes through every edge exactly once.
A path that begins and ends at the same vertex and passes through every other vertex exactly once.
The following questions relate to complete graphs.
What is an optimal solution of the traveling salesman problem for a weighted graph?
Is it possible to draw a Hamiltonian path on the following diagram?
Choose appropriate networks to find optimal solutions
Apply network methods in solving problems