Fractional matching

Fractional matching is a concept primarily used in graph theory and combinatorial optimization. It generalizes the idea of matching in bipartite graphs, allowing for a scenario where matches can be made in fractions rather than whole numbers, which means that connections between pairs of vertices can be partially utilized. ### Key Concepts: 1. **Matching**: In a traditional matching context, a matching in a graph is a set of edges such that no two edges share a vertex.