Yes, a bipartite graph can have two non-connected parts. In a bipartite graph, the vertices are divided into two disjoint subsets, and each edge connects a vertex from one subset to a vertex from the other subset. So, it is possible for the two subsets to have no connections between them, creating two non-connected parts.
A bipartite graph is a type of graph in which the vertices can be divided into two disjoint subsets, such that every edge connects a vertex from one subset to a vertex from the other subset. It is also known as a bigraph or a 2-partite graph.
A graph can be determined as bipartite if it is possible to divide its vertices into two subsets such that every edge connects a vertex from one subset to a vertex from the other subset, and there are no edges within each subset. This can be checked using algorithms such as depth-first search or breadth-first search.
No, a complete bipartite graph cannot have two non-connected parts. A complete bipartite graph is a special type of bipartite graph in which every vertex in one subset is connected to every vertex in the other subset. Therefore, there are no non-connected parts in a complete bipartite graph.
Bipartite graphs have various applications in different fields, such as social networks, recommendation systems, matching problems, and scheduling problems. They are also used in data mining, computer vision, and bioinformatics for data representation and analysis.
