| Bipartite Graph |
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In the Mathematical field of Graph Theory , a bipartite graph is a Graph whose Vertices can be divided into two Disjoint Sets and such that every Edge connects a vertex in and one in ; that is, there is no edge between two vertices in the same set. INTUITIVE DEFINITION It is possible to Color the nodes of a bipartite graph red and blue such that no edge exists between like colors. For example, this is impossible in the case of a fully connected graph with 3 vertices (a Triangle ): after one node is colored red and another blue, the remaining one is connected to both but must have the same colour as either. MATHEMATICAL DEFINITION |
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