Introduction to Graph Theory
Introduction to Graph Theory Graph theory is a fascinating area of mathematics that deals with the study of graphs —mathematical structures consisting of vertices (nodes) and edges (connections between nodes). It has a wide range of applications in computer science, social networks, transportation systems, and much more. This article introduces the basics of graph theory, its real-world uses, and how to get started with it in JavaScript and Python. What is a Graph? A graph is made up of: Vertices (or nodes) : These are the points or objects in the graph, like cities in a map, or people in a social network. Edges (or arcs) : These are the connections between the vertices, like roads connecting cities, or relationships between people. There are two main types of graphs: Directed Graphs (Digraphs) : The edges have a direction (from one node to another). Undirected Graphs : The edges do not have a direction and are bidirectional. Other Key Graph Concepts: Weighted Graph : ...