What is the difference between graph theory and network theory?

What is the difference between graph theory and network theory?

Graph theory is a branch of mathematics focusing on the study of graphs, which are structures made up of vertices and edges. Network theory, on the other hand, applies graph theory concepts to study real-world networks, such as social networks or computer networks.

Can you give me examples of each?

Sure! An example of graph theory is studying the connections in a social network as a graph. In network theory, you might analyze how data flows through a computer network, looking at nodes and connections.

Are there any practical applications for these theories?

Yes, graph theory is used in computer science for algorithms, while network theory is applied in telecommunications, transportation, and epidemiology to model and analyze complex systems.

How do these theories relate to each other?

Graph theory provides the foundational principles and mathematical framework that network theory builds upon to analyze and interpret real-world networks.