Can directed graphs have cycles?
An example of an AI chatbot conversation about directed graphs and cycles.
Can directed graphs have cycles?
Yes, directed graphs can have cycles. A cycle occurs when there is a path that starts and ends at the same vertex.
Can you give me an example of a directed graph with a cycle?
Sure! Consider a directed graph with vertices A, B, and C. If there are edges A -> B, B -> C, and C -> A, this forms a cycle.
What about undirected graphs? Can they have cycles too?
Yes, undirected graphs can also have cycles. A cycle in an undirected graph is formed when you can return to the starting vertex without retracing any edge.
How do cycles affect the properties of a graph?
Cycles can affect various properties, such as connectivity and the ability to perform certain algorithms, like topological sorting.
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