Bipartite Graphs
A bipartite graph is a type of graph that consists of two distinct sets of vertices, where edges only connect vertices from different sets. This means that no two vertices within the same set are directly connected. Bipartite graphs are often used to model relationships between two different groups, such as students and courses or jobs and applicants.
In a bipartite graph, the two sets can be denoted as U and V. An example of a bipartite graph is the K_{m,n} graph, where m and n represent the number of vertices in each set. These graphs are useful in various applications, including matching problems and network flow analysis.