A pinwheel of size k, is a graph with a center vertex connec…
A pinwheel of size k, is a graph with a center vertex connected to k vertices, which are otherwise not connected to any other vertex in the pinwheel. Consider the pinwheel problem where the input is a graph G and an integer , and the output is a set of vertices where the induced subgraph is a pinwheel, and returns NO if such a set of vertices does not exist. The picture shows pinwheels of size and , respectively. Show that the Pinwheel Problem is NP-complete.
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