5. Consider the following modification of the independent set problem. As input, you receive an undirected graph G = (V, E). As output, you must decide if G contains an independent set UCV such that U...


5. Consider the following modification of the independent set problem. As input, you receive an<br>undirected graph G = (V, E). As output, you must decide if G contains an independent set<br>UCV such that U contains at least 99% of the vertices in V (that is, JU| > 0.99|V|).<br>Prove that this modification of the independent set problem is NP-Complete.<br>

Extracted text: 5. Consider the following modification of the independent set problem. As input, you receive an undirected graph G = (V, E). As output, you must decide if G contains an independent set UCV such that U contains at least 99% of the vertices in V (that is, JU| > 0.99|V|). Prove that this modification of the independent set problem is NP-Complete.

Jun 05, 2022
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