What are some examples of non-Hamiltonian graphs?
An example of an AI chatbot conversation about non-Hamiltonian graphs and their characteristics.
Can you give me some examples of non-Hamiltonian graphs?
Sure! A non-Hamiltonian graph is one that does not contain a Hamiltonian cycle. One classic example is the complete graph K3,3.
What is a Hamiltonian cycle?
A Hamiltonian cycle is a cycle in a graph that visits every vertex exactly once and returns to the starting vertex.
Are there any other examples of non-Hamiltonian graphs?
Yes, another example is the cycle graph C4, which is a square. It does not have a Hamiltonian cycle.
How can I determine if a graph is non-Hamiltonian?
You can use various methods, such as checking for specific properties or applying algorithms like the Dirac's theorem.
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