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What is the difference between directed and undirected graphs?

An example of an AI chatbot conversation about the differences in graph types.

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You

What is the difference between directed and undirected graphs?

MagicBuddy
MagicBuddy

Directed graphs have edges with a direction, indicating a one-way relationship, while undirected graphs have edges that show a two-way relationship.

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You

Can you give me an example of each?

MagicBuddy
MagicBuddy

Sure! In a directed graph, a one-way street from A to B is represented as an edge from A to B. In an undirected graph, a two-way street between A and B is represented as an edge connecting both.

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You

What are some real-world applications of these graphs?

MagicBuddy
MagicBuddy

Directed graphs are used in web page linking and social media relationships, while undirected graphs are used in network topology and friendship connections.

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You

How do I represent these graphs mathematically?

MagicBuddy
MagicBuddy

Directed graphs can be represented using adjacency matrices or lists, while undirected graphs can also use these methods but with symmetric relationships.

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