Computer Science Consider the d-Independent Set problem: Input: an undirected graph G = (V,E) such that every vertex has degree less or equal than d. Output: The largest Independent Set.     Describe a polynomial time algorithm Athat approximates the optimal solution by a factor α(d). Your must write the explicit value of α, which may depend on d. Describe your algorithm in words (no pseudocode) and prove the approximation ratio α you are obtaining. Briefly explain why your algorithm runs in polytime.

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Computer Science

Consider the d-Independent Set problem:

Input: an undirected graph G = (V,E) such that every vertex has degree less or equal than d.

Output: The largest Independent Set.

 

 

Describe a polynomial time algorithm Athat approximates the optimal solution by a factor α(d). Your must

write the explicit value of α, which may depend on d. Describe your algorithm in words (no pseudocode) and

prove the approximation ratio α you are obtaining. Briefly explain why your algorithm runs in polytime.

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