Graph Counting
Graph counting involves enumerating the number of possible graphs with given vertices (nodes) and edges.
Graph Basics
For a complete graph with \(n\) vertices, the number of edges is:
\[ E = \frac{n(n-1)}{2} \]
Example
How many edges in a complete graph with 4 vertices?
\[ E = \frac{4 \cdot 3}{2} = 6 \]
Applications
Graph counting is used in network design (e.g., internet topology), chemistry (e.g., molecular structures), and social network analysis.