In graph theory, a graph is a mathematical structure used to model relationships between objects. It’s a set of vertices (nodes) connected by edges (lines). Graphs are widely used in computer science, networking, and real-world problem modeling.
Graph in Real Life
Some real-life examples of graphs include:
- Social Networks: People represent vertices, and the connections (e.g., friendships or followers) represent edges.
- Transportation Networks: Locations (e.g., cities or train stations) represent vertices, and the roads, train tracks, or flight routes connecting them represent edges.
- Internet: Websites represent vertices, and the hyperlinks or data connections between them represent edges.
Basic of Graph Theory
Here are the basic concepts in graph theory:
Types of Graphs
There are various types of graphs in graph theory and here is some of them:
- Null Graph
- Trivial Graph
- Simple Graph
- Multigraph Graph
- Undirected Graph
- Directed Graph
- Weighted Graphs
- Complete Graph
- Bipartite Graphs