Graph Theory Types of Graphs

In graph theory, a graph consists of vertices (nodes) connected by edges (links). Graphs can be classified into different types based on their structure and properties:

1. Undirected Graphs: Edges have no direction.
2. Directed Graphs (Digraphs): Edges have a specific direction.
3. Weighted Graphs: Edges have weights or costs.
4. Unweighted Graphs: Edges have no weights.
5. Simple Graphs: No loops or multiple edges.
6. Multi-Graphs: Can contain multiple edges between nodes.
7. Cyclic Graphs: Contain at least one cycle.
8. Acyclic Graphs: Contain no cycles.
9. Complete Graphs: All nodes are directly connected.
10. Bipartite Graphs: Nodes are divided into two disjoint sets, with edges connecting nodes in different sets.
11. Tree Graphs: Acyclic, connected graphs.
    These types are widely used in networks, pathfinding, and optimization.