What are the basics of graph theory?

What are the basics of graph theory?

Graph theory is a branch of mathematics that studies graphs, which are structures made up of vertices (or nodes) and edges (connections between nodes). It helps in understanding relationships and networks.

Can you explain what vertices and edges are?

Sure! In a graph, vertices are the individual points or nodes, while edges are the lines that connect these points. For example, in a social network, each person can be a vertex, and the friendships between them are the edges.

What are some real-world applications of graph theory?

Graph theory has many applications, including computer networking, social network analysis, transportation systems, and even biology for studying ecosystems.

Are there different types of graphs?

Yes, there are several types of graphs, such as directed graphs, undirected graphs, weighted graphs, and bipartite graphs, each serving different purposes in analysis.