Subset of vertices and edges of g

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Reference no: EM132463992

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'.

2) An independent set of vertices of a graph G is defined as a set S of vertices of G such that there is no edge between any two vertices of S.

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.

Reference no: EM132463992

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