Examples
- For any k, K1,k is called a star. All complete bipartite graphs which are trees are stars.
- The graph K1,3 is called a claw, and is used to define the claw-free graphs.
- The graph K3,3 is called the utility graph. This usage comes from a standard mathematical puzzle in which three utilities must each be connected to three buildings; it is impossible to solve without crossings due to the nonplanarity of K3,3.
Read more about this topic: Complete Bipartite Graph
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