Given the following definitions:
- 1) A subgraph G' of a graph G consists of a
subset of vertices and edges of G. A subgraph G' is complete if there is an edge between any pair of vertices of G'.
Show that finding a complete subgraph of G with k vertices is NP-complete by reducing from the q-Indepedent Set problem (i.e., finding an independent set with q vertices).
Note: you should first present the problem in its decision version and then prove the NP-completeness.
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