🌐 What is Graph Theory?
Graph theory is the study of graphs (mathematical structures) and their properties. It explores relationships between objects, making it fundamental in computer science, mathematics, and network analysis.
📘 Core Concepts
- Nodes (vertices): Points representing entities (e.g., users, cities)
- Edges (links): Connections between nodes (e.g., friendships, roads)
- Paths: Sequences of edges connecting nodes
- Graph Types:
- Directed vs. undirected
- Weighted vs. unweighted
- Cyclic vs. acyclic
🔍 Real-World Applications
- Social Network Analysis: Modeling relationships (e.g., Facebook friend graphs)
- Routing Algorithms: Finding shortest paths in maps (e.g., Dijkstra's algorithm)
- Computer Networks: Representing data flow between devices
- Recommendation Systems: Using graph-based collaborative filtering
📚 Extend Your Knowledge
Explore our guide on advanced graph algorithms to dive deeper into practical implementations!