Given an undirected graph G = (V, E) and an integer k, find an induced subgraph H

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Given an undirected graph G = (V, E) and an integer k, find an induced subgraph H of G of maximum size such that all vertices of H have a degree > = k, or conclude that no such induced subgraph exists. Implement the method with the following header:
public static Graph maxInducedSubgraph(Graph g, int k)
The method returns null if such a subgraph does not exist

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