Consider the clique problem: given a graph G and a positive integer k, determine
whether the graph contains a clique of size k, i.e., a complete subgraph
of k vertices. Design an exhaustive-search algorithm for this problem.
Step 1 S has to be assigned a k sized subset.
Step 2 Search for an edge in G for every pair of vertices of set S. If that fails go back to step 1 for another k sized subset.
Step 3 stop and return success.
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