Matching (graph theory)

In graph theory, a **matching** is a set of edges in a graph such that no two edges share a common vertex. In other words, it is a way of pairing the vertices of a graph such that each vertex is included in at most one edge of the matching. Here's a more detailed explanation: 1. **Vertices and Edges**: A graph consists of a set of vertices (nodes) and a set of edges (connections between pairs of vertices).