N-vertex complete graph

A complete graph with N vertices, called a "K_N," is a mathematical structure where you have N points, or "vertices," and every pair of these points is connected by a direct line, or "edge." In such a graph, no matter which two vertices you pick, there's always a connection between them. This concept helps in representing relationships where every element is directly linked to every other, such as in network design or social graphs. The total number of lines in a complete graph for N vertices is given by the formula N(N-1)/2.